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Convergence of exponential attractors for a time splitting approximation of the Caginalp phase-field system

Communications on Pure and Applied Analysis  Volume 17, Issue 1, Pages : 1 - 19, 2017

Narcisse Batangouna - (email), Morgan Pierre - (email)

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Random pullback exponential attractors: General existence results for random dynamical systems in Banach spaces

Discrete and Continuous Dynamical Systems  Volume 37, Issue 12, Pages : 6383 - 6403, 2017

Tomás Caraballo - (email), Stefanie Sonner - (email)

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Null controllability for parabolic equations with dynamic boundary conditions

Evolution Equations and Control Theory  Volume 6, Issue 3, Pages : 381 - 407, 2017

Lahcen Maniar - (email), Martin Meyries - (email), Roland Schnaubelt - (email)

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Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping

Evolution Equations and Control Theory  Volume 6, Issue 3, Pages : 437 - 470, 2017

Marcio Antonio Jorge da Silva - (email), Vando Narciso - (email)

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On a semilinear Timoshenko-Coleman-Gurtin system: Quasi-stability and attractors

Discrete and Continuous Dynamical Systems  Volume 37, Issue 9, Pages : 4729 - 4751, 2017

Baowei Feng - (email)

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Global stability for multi-group SIR and SEIR epidemic models with age-dependent susceptibility

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 7, Pages : 2795 - 2812, 2017

Jinliang Wang - (email), Xianning Liu - (email), Toshikazu Kuniya - (email), Jingmei Pang - (email)

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Global well-posedness of the two-dimensional horizontally filtered simplified Bardina turbulence model on a strip-like region

Communications on Pure and Applied Analysis  Volume 16, Issue 5, Pages : 1861 - 1881, 2017

Luca Bisconti - (email), Davide Catania - (email)

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General decay for a viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, dynamic boundary conditions and a time-varying delay term

Evolution Equations and Control Theory  Volume 6, Issue 2, Pages : 239 - 260, 2017

Wenjun Liu - (email), Biqing Zhu - (email), Gang Li - (email), Danhua Wang - (email)

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Regularity of the global attractor for a nonlinear Schrödinger equation with a point defect

Communications on Pure and Applied Analysis  Volume 16, Issue 4, Pages : 1233 - 1252, 2017

Wided Kechiche - (email)

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Modeling and analysis of reactive multi-component two-phase flows with mass transfer and phase transition -- The isothermal incompressible case

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 4, Pages : 673 - 696, 2017

Dieter Bothe - (email), Jan Prüss - (email)

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Global attractors of impulsive parabolic inclusions

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 1875 - 1886, 2017

Sergey Dashkovskiy - (email), Oleksiy Kapustyan - (email), Iryna Romaniuk - (email)

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Long-time behavior of state functions for climate energy balance model

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 1887 - 1897, 2017

Nataliia V. Gorban - (email), Olha V. Khomenko - (email), Liliia S. Paliichuk - (email), Alla M. Tkachuk - (email)

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Regularity of global attractors for reaction-diffusion systems with no more than quadratic growth

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 1899 - 1908, 2017

Oleksiy V. Kapustyan - (email), Pavlo O. Kasyanov - (email), José Valero - (email)

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Uniform global attractors for non-autonomous dissipative dynamical systems

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 2053 - 2065, 2017

Michael Zgurovsky - (email), Mark Gluzman - (email), Nataliia Gorban - (email), Pavlo Kasyanov - (email), Liliia Paliichuk - (email), Olha Khomenko - (email)

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Invariant measures for complex-valued dissipative dynamical systems and applications

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 6, Pages : 2427 - 2446, 2017

Xin Li - (email), Wenxian Shen - (email), Chunyou Sun - (email)

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Fourier spectral approximations to the dynamics of 3D fractional complex Ginzburg-Landau equation

Discrete and Continuous Dynamical Systems  Volume 37, Issue 5, Pages : 2539 - 2564, 2017

Hong Lu - (email), Shujuan Lü - (email), Mingji Zhang - (email)

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Global exponential $\kappa-$dissipative semigroups and exponential attraction

Discrete and Continuous Dynamical Systems  Volume 37, Issue 6, Pages : 3487 - 3502, 2017

Jin Zhang - (email), Peter E. Kloeden - (email), Meihua Yang - (email), Chengkui Zhong - (email)

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Global attractor for a strongly damped wave equation with fully supercritical nonlinearities

Discrete and Continuous Dynamical Systems  Volume 37, Issue 4, Pages : 2181 - 2205, 2016

Zhijian Yang - (email), Zhiming Liu - (email)

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Detecting phase transitions in collective behavior using manifold's curvature

Mathematical Biosciences and Engineering  Volume 14, Issue 2, Pages : 437 - 453, 2016

Kelum Gajamannage - (email), Erik M. Bollt - (email)

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The finite dimensional global attractor for the 3D viscous Primitive Equations

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 7001 - 7020, 2016

Ning Ju - (email)

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Quasi-stability and exponential attractors for a non-gradient system---applications to piston-theoretic plates with internal damping

Evolution Equations and Control Theory  Volume 5, Issue 4, Pages : 567 - 603, 2016

Jason S. Howell - (email), Irena Lasiecka - (email), Justin T. Webster - (email)

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On the Muskat problem

Evolution Equations and Control Theory  Volume 5, Issue 4, Pages : 631 - 645, 2016

Jan Prüss - (email), Gieri Simonett - (email)

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The global attractor of the 2d Boussinesq equations with fractional Laplacian in subcritical case

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2531 - 2550, 2016

Wenru Huo - (email), Aimin Huang - (email)

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Finite dimensional smooth attractor for the Berger plate with dissipation acting on a portion of the boundary

Communications on Pure and Applied Analysis  Volume 15, Issue 6, Pages : 2301 - 2328, 2016

George Avalos - (email), Pelin G. Geredeli - (email), Justin T. Webster - (email)

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Quasi-stability property and attractors for a semilinear Timoshenko system

Discrete and Continuous Dynamical Systems  Volume 36, Issue 11, Pages : 6117 - 6132, 2016

Luci H. Fatori - (email), Marcio A. Jorge Silva - (email), Vando Narciso - (email)

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Longtime behavior of the semilinear wave equation with gentle dissipation

Discrete and Continuous Dynamical Systems  Volume 36, Issue 11, Pages : 6557 - 6580, 2016

Zhijian Yang - (email), Zhiming Liu - (email), Na Feng - (email)

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Long time behavior of solutions to a Schrödinger-Poisson system in $R^3$

Communications on Pure and Applied Analysis  Volume 15, Issue 5, Pages : 1743 - 1756, 2016

Amna Dabaa - (email), O. Goubet - (email)

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Global attractors for nonlinear viscoelastic equations with memory

Communications on Pure and Applied Analysis  Volume 15, Issue 5, Pages : 1893 - 1913, 2016

Monica Conti - (email), Elsa M. Marchini - (email), V. Pata - (email)

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Parabolic problems with general Wentzell boundary conditions and diffusion on the boundary

Communications on Pure and Applied Analysis  Volume 15, Issue 4, Pages : 1401 - 1417, 2016

Davide Guidetti - (email)

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Degenerate flux for dynamic boundary conditions in parabolic and hyperbolic equations

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 3, Pages : 651 - 660, 2016

Raluca Clendenen - (email), Gisèle Ruiz Goldstein - (email), Jerome A. Goldstein - (email)

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Classical solutions to quasilinear parabolic problems with dynamic boundary conditions

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 3, Pages : 717 - 736, 2016

Davide Guidetti - (email)

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A thermodynamic study of the two-dimensional pressure-driven channel flow

Discrete and Continuous Dynamical Systems  Volume 36, Issue 8, Pages : 4349 - 4366, 2016

Weinan E - (email), Jianchun Wang - (email)

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Numerical algorithms for stationary statistical properties of dissipative dynamical systems

Discrete and Continuous Dynamical Systems  Volume 36, Issue 8, Pages : 4599 - 4618, 2016

Xiaoming Wang - (email)

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Elliptic and parabolic equations with fractional diffusion and dynamic boundary conditions

Evolution Equations and Control Theory  Volume 5, Issue 1, Pages : 61 - 103, 2016

Ciprian G. Gal - (email), Mahamadi Warma - (email)

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Optimal control for a phase field system with a possibly singular potential

Mathematical Control and Related Fields  Volume 6, Issue 1, Pages : 95 - 112, 2016

Pierluigi Colli - (email), Gianni Gilardi - (email), Gabriela Marinoschi - (email), Elisabetta Rocca - (email)

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On the Swift-Hohenberg equation with slow and fast dynamics: well-posedness and long-time behavior

Communications on Pure and Applied Analysis  Volume 15, Issue 1, Pages : 219 - 241, 2015

Andrea Giorgini - (email)

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Existence of the global attractor for the plate equation with nonlocal nonlinearity in $ \mathbb{R} ^{n}$

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 151 - 172, 2015

Azer Khanmamedov - (email), Sema Simsek - (email)

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38

Global attractors for the Gray-Scott equations in locally uniform spaces

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 337 - 356, 2015

Gaocheng Yue - (email), Chengkui Zhong - (email)

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39

On Fourier multipliers in function spaces with partial Hölder condition and their application to the linearized Cahn-Hilliard equation with dynamic boundary conditions

Evolution Equations and Control Theory  Volume 4, Issue 4, Pages : 391 - 429, 2015

Sergey P. Degtyarev - (email)

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40

Quasi-stability and global attractor in nonlinear thermoelastic diffusion plate with memory

Evolution Equations and Control Theory  Volume 4, Issue 3, Pages : 241 - 263, 2015

Moncef Aouadi - (email), Alain Miranville - (email)

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41

Long time dynamics of a multidimensional nonlinear lattice with memory

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 8, Pages : 2715 - 2732, 2015

Jáuber Cavalcante Oliveira - (email), Jardel Morais Pereira - (email), Gustavo Perla Menzala - (email)

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42

Reaction-diffusion equations with fractional diffusion on non-smooth domains with various boundary conditions

Discrete and Continuous Dynamical Systems  Volume 36, Issue 3, Pages : 1279 - 1319, 2015

Ciprian G. Gal - (email), Mahamadi Warma - (email)

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Dynamics of a food chain model with ratio-dependent and modified Leslie-Gower functional responses

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 7, Pages : 2269 - 2290, 2015

Wen-Bin Yang - (email), Yan-Ling Li - (email), Jianhua Wu - (email), Hai-Xia Li - (email)

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44

Finite dimensional global attractor for a Bose-Einstein equation in a two dimensional unbounded domain

Communications on Pure and Applied Analysis  Volume 14, Issue 5, Pages : 1781 - 1801, 2015

Brahim Alouini - (email)

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Finite-dimensional global attractors for parabolic nonlinear equations with state-dependent delay

Communications on Pure and Applied Analysis  Volume 14, Issue 5, Pages : 1685 - 1704, 2015

Igor Chueshov - (email), Alexander V. Rezounenko - (email)

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46

Navier--Stokes equations on a rapidly rotating sphere

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 4, Pages : 1251 - 1259, 2015

D. Wirosoetisno - (email)

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Global attractor for weakly damped gKdV equations in higher sobolev spaces

Discrete and Continuous Dynamical Systems  Volume 35, Issue 8, Pages : 3799 - 3825, 2015

Ming Wang - (email)

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Finite-dimensional attractors for the Bertozzi--Esedoglu--Gillette--Cahn--Hilliard equation in image inpainting

Inverse Problems and Imaging  Volume 9, Issue 1, Pages : 105 - 125, 2015

Laurence Cherfils - (email), Hussein Fakih - (email), Alain Miranville - (email)

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Regularity of the attractor for a coupled Klein-Gordon-Schrödinger system with cubic nonlinearities in $\mathbb{R}^2$

Communications on Pure and Applied Analysis  Volume 14, Issue 2, Pages : 695 - 716, 2014

Salah Missaoui - (email), Ezzeddine Zahrouni - (email)

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50

A new phase field model for material fatigue in an oscillating elastoplastic beam

Discrete and Continuous Dynamical Systems  Volume 35, Issue 6, Pages : 2465 - 2495, 2014

Michela Eleuteri - (email), Jana Kopfová - (email), Pavel Krejčí - (email)

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51

Remarks on global attractors for the 3D Navier--Stokes equations with horizontal filtering

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 1, Pages : 59 - 75, 2014

Luca Bisconti - (email), Davide Catania - (email)

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Attractors and their properties for a class of nonlocal extensible beams

Discrete and Continuous Dynamical Systems  Volume 35, Issue 3, Pages : 985 - 1008, 2014

Marcio Antonio Jorge da Silva - (email), Vando Narciso - (email)

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Mathematical modeling of phase transition and separation in fluids: A unified approach

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 7, Pages : 1889 - 1909, 2014

Alessia Berti - (email), Claudio Giorgi - (email), Angelo Morro - (email)

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54

On the viscoelastic coupled suspension bridge

Evolution Equations and Control Theory  Volume 3, Issue 3, Pages : 373 - 397, 2014

Ivana Bochicchio - (email), Claudio Giorgi - (email), Elena Vuk - (email)

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Approximation of the trajectory attractor for a 3D model of incompressible two-phase-flows

Communications on Pure and Applied Analysis  Volume 13, Issue 6, Pages : 2229 - 2252, 2014

Ciprian G. Gal - (email), T. Tachim Medjo - (email)

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Interaction of an elastic plate with a linearized inviscid incompressible fluid

Communications on Pure and Applied Analysis  Volume 13, Issue 5, Pages : 1759 - 1778, 2014

I. D. Chueshov - (email)

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Regular solutions and global attractors for reaction-diffusion systems without uniqueness

Communications on Pure and Applied Analysis  Volume 13, Issue 5, Pages : 1891 - 1906, 2014

Oleksiy V. Kapustyan - (email), Pavlo O. Kasyanov - (email), José Valero - (email)

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58

Asymptotic behavior of the conserved Caginalp phase-field system based on the Maxwell-Cattaneo law

Communications on Pure and Applied Analysis  Volume 13, Issue 5, Pages : 1971 - 1987, 2014

Alain Miranville - (email)

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Bounds on energy and enstrophy for the 3D Navier-Stokes-$\alpha$ and Leray-$\alpha$ models

Communications on Pure and Applied Analysis  Volume 13, Issue 5, Pages : 2127 - 2140, 2014

Aseel Farhat - (email), M. S Jolly - (email), Evelyn Lunasin - (email)

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Optimal parameter-dependent bounds for Kuramoto-Sivashinsky-type equations

Discrete and Continuous Dynamical Systems  Volume 34, Issue 12, Pages : 5325 - 5357, 2014

Ralf W. Wittenberg - (email)

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61

On global in time dynamics of a planar Bingham flow subject to a subdifferential boundary condition

Discrete and Continuous Dynamical Systems  Volume 34, Issue 10, Pages : 3969 - 3983, 2014

Mahdi Boukrouche - (email), Grzegorz Łukaszewicz - (email)

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Asymptotic behaviour of a logistic lattice system

Discrete and Continuous Dynamical Systems  Volume 34, Issue 10, Pages : 4019 - 4037, 2014

Tomás Caraballo - (email), Francisco Morillas - (email), José Valero - (email)

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Structure and regularity of the global attractor of a reaction-diffusion equation with non-smooth nonlinear term

Discrete and Continuous Dynamical Systems  Volume 34, Issue 10, Pages : 4155 - 4182, 2014

Oleksiy V. Kapustyan - (email), Pavlo O. Kasyanov - (email), José Valero - (email)

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Dynamic transitions for Landau-Brazovskii model

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 2, Pages : 607 - 627, 2014

Hao Zhang - (email), Kai Jiang - (email), Pingwen Zhang - (email)

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Semi discrete weakly damped nonlinear Klein-Gordon Schrödinger system

Communications on Pure and Applied Analysis  Volume 13, Issue 4, Pages : 1525 - 1539, 2014

Olivier Goubet - (email), Marilena N. Poulou - (email)

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Long-time behavior for a class of degenerate parabolic equations

Discrete and Continuous Dynamical Systems  Volume 34, Issue 7, Pages : 2873 - 2892, 2013

Hongtao Li - (email), Shan Ma - (email), Chengkui Zhong - (email)

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Phase transition and separation in compressible Cahn-Hilliard fluids

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 1, Pages : 73 - 88, 2013

Mauro Fabrizio - (email), Claudio Giorgi - (email), Angelo Morro - (email)

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Attractors for weakly damped beam equations with $p$-Laplacian

DCDS Supplements  Volume 2013, Issue special, Pages : 525 - 534, 2013

T. F. Ma - (email), M. L. Pelicer - (email)

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69

The unstable set of zero and the global attractor for delayed monotone positive feedback

DCDS Supplements  Volume 2001, Issue Special, Pages : 229 - 240, 2013

Tibor Krisztin - (email)

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70

Some mathematical models in phase transition

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 2, Pages : 271 - 306, 2013

Alain Miranville - (email)

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On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems

Discrete and Continuous Dynamical Systems  Volume 34, Issue 1, Pages : 51 - 77, 2013

Tomás Caraballo - (email), Francisco Morillas - (email), José Valero - (email)

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72

Well-posedness and long time behavior of an Allen-Cahn type equation

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 2811 - 2827, 2013

Haydi Israel - (email)

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Singular limits for the two-phase Stefan problem

Discrete and Continuous Dynamical Systems  Volume 33, Issue 11/12, Pages : 5379 - 5405, 2013

Jan Prüss - (email), Jürgen Saal - (email), Gieri Simonett - (email)

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Singular limit of viscous Cahn-Hilliard equations with memory and dynamic boundary conditions

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 6, Pages : 1581 - 1610, 2013

Ciprian G. Gal - (email), Maurizio Grasselli - (email)

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A Cahn-Hilliard-Gurtin model with dynamic boundary conditions

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 2, Pages : 387 - 400, 2012

Gisèle Ruiz Goldstein - (email), Alain Miranville - (email)

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Memory relaxation of type III thermoelastic extensible beams and Berger plates

Evolution Equations and Control Theory  Volume 1, Issue 2, Pages : 251 - 270, 2012

Filippo Dell'Oro - (email), Vittorino Pata - (email)

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Continua of local minimizers in a quasilinear model of phase transitions

Discrete and Continuous Dynamical Systems  Volume 33, Issue 1, Pages : 163 - 172, 2012

Pavel Drábek - (email), Stephen Robinson - (email)

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On a nonlocal isoperimetric problem on the two-sphere

Communications on Pure and Applied Analysis  Volume 12, Issue 1, Pages : 597 - 620, 2012

Ihsan Topaloglu - (email)

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Non-local PDEs with discrete state-dependent delays: Well-posedness in a metric space

Discrete and Continuous Dynamical Systems  Volume 33, Issue 2, Pages : 819 - 835, 2012

Alexander V. Rezounenko - (email), Petr Zagalak - (email)

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Attractors in $H^2$ and $L^{2p-2}$ for reaction diffusion equations on unbounded domains

Communications on Pure and Applied Analysis  Volume 12, Issue 2, Pages : 1111 - 1121, 2012

Ming Wang - (email), Yanbin Tang - (email)

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Global attractors for strongly damped wave equations with subcritical-critical nonlinearities

Communications on Pure and Applied Analysis  Volume 12, Issue 2, Pages : 1015 - 1027, 2012

Filippo Dell'Oro - (email)

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Dynamical bifurcation of the two dimensional Swift-Hohenberg equation with odd periodic condition

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 7, Pages : 2431 - 2449, 2012

Jongmin Han - (email), Chun-Hsiung Hsia - (email)

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Averaging of an homogeneous two-phase flow model with oscillating external forces

Discrete and Continuous Dynamical Systems  Volume 32, Issue 10, Pages : 3665 - 3690, 2012

T. Tachim Medjo - (email)

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Long time behavior of the Caginalp system with singular potentials and dynamic boundary conditions

Communications on Pure and Applied Analysis  Volume 11, Issue 6, Pages : 2261 - 2290, 2012

Laurence Cherfils - (email), Stefania Gatti - (email), Alain Miranville - (email)

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On the asymptotic behaviour of the Lebesgue measure of sum-level sets for continued fractions

Discrete and Continuous Dynamical Systems  Volume 32, Issue 7, Pages : 2437 - 2451, 2012

Marc Kessböhmer - (email), Bernd O. Stratmann - (email)

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Robustness of finite element simulations in densely packed random particle composites

Networks and Heterogeneous Media  Volume 7, Issue 1, Pages : 113 - 126, 2012

Daniel Peterseim - (email)

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Well-posedness and long term behavior of a simplified Ericksen-Leslie non-autonomous system for nematic liquid crystal flows

Communications on Pure and Applied Analysis  Volume 11, Issue 2, Pages : 407 - 441, 2011

Stefano Bosia - (email)

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Long-time dynamics in plate models with strong nonlinear damping

Communications on Pure and Applied Analysis  Volume 11, Issue 2, Pages : 659 - 674, 2011

Igor Chueshov - (email), Stanislav Kolbasin - (email)

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On the structure of the global attractor for non-autonomous dynamical systems with weak convergence

Communications on Pure and Applied Analysis  Volume 11, Issue 2, Pages : 809 - 828, 2011

Tomás Caraballo - (email), David Cheban - (email)

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The supercooled Stefan problem in one dimension

Communications on Pure and Applied Analysis  Volume 11, Issue 2, Pages : 845 - 859, 2011

Lincoln Chayes - (email), Inwon C. Kim - (email)

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Dynamic boundary conditions as limit of singularly perturbed parabolic problems

DCDS Supplements  Volume 2011, Issue Special, Pages : 737 - 746, 2011

Ángela Jiménez-Casas - (email), Aníbal Rodríguez-Bernal - (email)

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92

Global attractor of the multivalued semigroup associated with a phase-field model of grain boundary motion with constraint

DCDS Supplements  Volume 2011, Issue Special, Pages : 824 - 833, 2011

Nobuyuki Kenmochi - (email), Noriaki Yamazaki - (email)

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93

Asymptotic behavior of solutions to a one-dimensional full model for phase transitions with microscopic movements

Discrete and Continuous Dynamical Systems  Volume 32, Issue 1, Pages : 167 - 190, 2011

Jie Jiang - (email), Boling Guo - (email)

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94

Non-autonomous 3D primitive equations with oscillating external force and its global attractor

Discrete and Continuous Dynamical Systems  Volume 32, Issue 1, Pages : 265 - 291, 2011

T. Tachim Medjo - (email)

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95

On the structure of the global attractor for infinite-dimensional non-autonomous dynamical systems with weak convergence

Communications on Pure and Applied Analysis  Volume 12, Issue 1, Pages : 281 - 302, 2011

Tomás Caraballo - (email), David Cheban - (email)

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96

Attractors for the three-dimensional incompressible Navier-Stokes equations with damping

Discrete and Continuous Dynamical Systems  Volume 31, Issue 1, Pages : 239 - 252, 2011

Xue-Li Song - (email), Yan-Ren Hou - (email)

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97

Exponential attractors for lattice dynamical systems in weighted spaces

Discrete and Continuous Dynamical Systems  Volume 31, Issue 2, Pages : 445 - 467, 2011

Xiaoying Han - (email)

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98

Navier--Stokes equations on the $\beta$-plane

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 3, Pages : 687 - 701, 2011

Mustafa A. H. Al-Jaboori - (email), D. Wirosoetisno - (email)

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99

Almost periodic and asymptotically almost periodic solutions of Liénard equations

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 3, Pages : 703 - 717, 2011

Tomás Caraballo - (email), David Cheban - (email)

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100

Long-time behavior of a Bose-Einstein equation in a two-dimensional thin domain

Communications on Pure and Applied Analysis  Volume 10, Issue 6, Pages : 1629 - 1643, 2011

Brahim Alouini - (email)

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101

Averaging of a 3D Lagrangian averaged Navier-Stokes-$\alpha$ model with oscillating external forces

Communications on Pure and Applied Analysis  Volume 10, Issue 4, Pages : 1281 - 1305, 2011

T. Tachim Medjo - (email)

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102

Asymptotic dynamics of reversible cubic autocatalytic reaction-diffusion systems

Communications on Pure and Applied Analysis  Volume 10, Issue 5, Pages : 1415 - 1445, 2011

Yuncheng You - (email)

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103

Dynamic phase transition for binary systems in cylindrical geometry

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 1, Pages : 173 - 188, 2011

I-Liang Chern - (email), Chun-Hsiung Hsia - (email)

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104

Stability of the steady state for multi-dimensional thermoelastic systems of shape memory alloys

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 1, Pages : 209 - 217, 2011

Takashi Suzuki - (email), Shuji Yoshikawa - (email)

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105

Global existence and uniqueness of a three-dimensional model of cellular electrophysiology

Discrete and Continuous Dynamical Systems  Volume 29, Issue 4, Pages : 1573 - 1636, 2010

Hiroshi Matano - (email), Yoichiro Mori - (email)

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106

A non-autonomous 3D Lagrangian averaged Navier-Stokes-$\alpha$ model with oscillating external force and its global attractor

Communications on Pure and Applied Analysis  Volume 10, Issue 2, Pages : 415 - 433, 2010

T. Tachim Medjo - (email)

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107

On the global attractor of the Trojan Y Chromosome model

Communications on Pure and Applied Analysis  Volume 10, Issue 1, Pages : 339 - 359, 2010

Rana D. Parshad - (email), Juan B. Gutierrez - (email)

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108

Asymptotics of the Coleman-Gurtin model

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 2, Pages : 351 - 369, 2010

Mickaël D. Chekroun - (email), Francesco di Plinio - (email), Nathan Glatt-Holtz - (email), Vittorino Pata - (email)

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109

Periodic solutions of parabolic problems with hysteresis on the boundary

Discrete and Continuous Dynamical Systems  Volume 29, Issue 3, Pages : 1041 - 1083, 2010

Pavel Gurevich - (email)

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110

A doubly nonlinear parabolic equation with a singular potential

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 1, Pages : 51 - 66, 2010

Laurence Cherfils - (email), Stefania Gatti - (email), Alain Miranville - (email)

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111

Global dissipativity and inertial manifolds for diffusive burgers equations with low-wavenumber instability

Discrete and Continuous Dynamical Systems  Volume 29, Issue 1, Pages : 327 - 341, 2010

Jesenko Vukadinovic - (email)

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112

Dynamics of three-component reversible Gray-Scott model

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 4, Pages : 1671 - 1688, 2010

Yuncheng You - (email)

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113

The computation of nonclassical shock waves with a heterogeneous multiscale method

Networks and Heterogeneous Media  Volume 5, Issue 3, Pages : 661 - 674, 2010

Frederike Kissling - (email), Christian Rohde - (email)

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114

On a doubly nonlinear Cahn-Hilliard-Gurtin system

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 2, Pages : 675 - 697, 2010

Alain Miranville - (email), Giulio Schimperna - (email)

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115

The Cahn-Hilliard equation with singular potentials and dynamic boundary conditions

Discrete and Continuous Dynamical Systems  Volume 28, Issue 1, Pages : 275 - 310, 2010

Alain Miranville - (email), Sergey Zelik - (email)

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116

Semilinear wave equations of viscoelasticity in the minimal state framework

Discrete and Continuous Dynamical Systems  Volume 27, Issue 4, Pages : 1535 - 1552, 2010

Monica Conti - (email), Elsa M. Marchini - (email), Vittorino Pata - (email)

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117

An inviscid dyadic model of turbulence: The global attractor

Discrete and Continuous Dynamical Systems  Volume 26, Issue 3, Pages : 781 - 794, 2009

Alexey Cheskidov - (email), Susan Friedlander - (email), Nataša Pavlović - (email)

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118

Continuity of global attractors for a class of non local evolution equations

Discrete and Continuous Dynamical Systems  Volume 26, Issue 3, Pages : 1073 - 1100, 2009

Antônio Luiz Pereira - (email), Severino Horácio da Silva - (email)

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119

Asymptotic behaviour of the Darcy-Boussinesq system at large Darcy-Prandtl number

Discrete and Continuous Dynamical Systems  Volume 26, Issue 4, Pages : 1441 - 1469, 2009

Rana D. Parshad - (email)

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120

Asymptotic behavior of thermoviscoelastic Berger plate

Communications on Pure and Applied Analysis  Volume 9, Issue 1, Pages : 161 - 192, 2009

Mykhailo Potomkin - (email)

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121

On the regularity of global attractors

Discrete and Continuous Dynamical Systems  Volume 25, Issue 4, Pages : 1209 - 1217, 2009

Monica Conti - (email), Vittorino Pata - (email)

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122

Asymptotical dynamics of the modified Schnackenberg equations

DCDS Supplements  Volume 2009, Issue Special, Pages : 857 - 868, 2009

Yuncheng You - (email)

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123

Global and exponential attractors for the singularly perturbed extensible beam

Discrete and Continuous Dynamical Systems  Volume 25, Issue 3, Pages : 1041 - 1060, 2009

Michele Coti Zelati - (email)

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124

The dimension of the attractor for the 3D flow of a non-Newtonian fluid

Communications on Pure and Applied Analysis  Volume 8, Issue 5, Pages : 1503 - 1520, 2009

M. Bulíček - (email), F. Ettwein - (email), P. Kaplický - (email), Dalibor Pražák - (email)

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125

Global attractor for the Davey-Stewartson system on $\mathbb R^2$

Communications on Pure and Applied Analysis  Volume 8, Issue 5, Pages : 1555 - 1575, 2009

Olivier Goubet - (email), Manal Hussein - (email)

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126

Exponential attractors for second order lattice dynamical systems

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 803 - 813, 2009

Ahmed Y. Abdallah - (email)

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127

On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 881 - 912, 2009

Gianni Gilardi - (email), A. Miranville - (email), Giulio Schimperna - (email)

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128

A quasilinear thermoviscoelastic system for shape memory alloys with temperature dependent specific heat

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 1093 - 1115, 2009

Shuji Yoshikawa - (email), Irena Pawłow - (email), Wojciech M. Zajączkowski - (email)

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129

Robust exponential attractors and convergence to equilibria for non-isothermal Cahn-Hilliard equations with dynamic boundary conditions

Discrete and Continuous Dynamical Systems - Series S  Volume 2, Issue 1, Pages : 113 - 147, 2009

Ciprian G. Gal - (email), Alain Miranville - (email)

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130

Finite dimensionality of a Klein-Gordon-Schrödinger type system

Discrete and Continuous Dynamical Systems - Series S  Volume 2, Issue 1, Pages : 149 - 161, 2009

Marilena N. Poulou - (email), Nikolaos M. Stavrakakis - (email)

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131

Existence and longtime behavior of a biofilm model

Communications on Pure and Applied Analysis  Volume 8, Issue 2, Pages : 509 - 531, 2008

Messoud A. Efendiev - (email), Sergey Zelik - (email), Hermann J. Eberl - (email)

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132

On the asymptotic behavior of the Caginalp system with dynamic boundary conditions

Communications on Pure and Applied Analysis  Volume 8, Issue 2, Pages : 689 - 710, 2008

Ciprian G. Gal - (email), M. Grasselli - (email)

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133

Attractors for a non-linear parabolic equation modelling suspension flows

Discrete and Continuous Dynamical Systems - Series B  Volume 11, Issue 2, Pages : 205 - 231, 2008

José M. Amigó - (email), Isabelle Catto - (email), Ángel Giménez - (email), José Valero - (email)

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134

The non-isothermal Allen-Cahn equation with dynamic boundary conditions

Discrete and Continuous Dynamical Systems  Volume 22, Issue 4, Pages : 1009 - 1040, 2008

Ciprian G. Gal - (email), Maurizio Grasselli - (email)

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135

Asymptotic behavior of a hyperbolic system arising in ferroelectricity

Communications on Pure and Applied Analysis  Volume 7, Issue 6, Pages : 1393 - 1414, 2008

Sergio Frigeri - (email)

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136

On a time discretization of a weakly damped forced nonlinear Schrödinger equation

Communications on Pure and Applied Analysis  Volume 7, Issue 6, Pages : 1429 - 1442, 2008

Olivier Goubet - (email), Ezzeddine Zahrouni - (email)

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137

Robust exponential attractors for a conserved Cahn-Hilliard model with singularly perturbed boundary conditions

Communications on Pure and Applied Analysis  Volume 7, Issue 4, Pages : 819 - 836, 2008

Ciprian G. Gal - (email)

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138

Global attractor of the Gray-Scott equations

Communications on Pure and Applied Analysis  Volume 7, Issue 4, Pages : 947 - 970, 2008

Yuncheng You - (email)

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139

Lyapunov exponents and the dimension of the attractor for 2d shear-thinning incompressible flow

Discrete and Continuous Dynamical Systems  Volume 20, Issue 4, Pages : 961 - 974, 2008

P. Kaplický - (email), Dalibor Pražák - (email)

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140

Strongly damped wave equations in $W^(1,p)_0 (\Omega) \times L^p(\Omega)$

DCDS Supplements  Volume 2007, Issue Special, Pages : 230 - 239, 2007

Alexandre N. Carvalho - (email), Jan W. Cholewa - (email)

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141

3D convective Cahn--Hilliard equation

Communications on Pure and Applied Analysis  Volume 6, Issue 4, Pages : 1075 - 1086, 2007

Alp Eden - (email), Varga K. Kalantarov - (email)

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142

On the dynamics of a degenerate damped semilinear wave equation in \mathbb{R}^N : the non-compact case

DCDS Supplements  Volume 2007, Issue Special, Pages : 531 - 540, 2007

Nikos I. Karachalios - (email), Athanasios N Lyberopoulos - (email)

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143

Exponential attractors for a quasilinear parabolic equation

DCDS Supplements  Volume 2007, Issue Special, Pages : 713 - 720, 2007

Kei Matsuura - (email), Mitsuharu Otani - (email)

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144

Global attractor for a Klein-Gordon-Schrodinger type system

DCDS Supplements  Volume 2007, Issue Special, Pages : 844 - 854, 2007

Marilena N. Poulou - (email), Nikolaos M. Stavrakakis - (email)

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145

A weak attractor and properties of solutions for the three-dimensional Bénard problem

Discrete and Continuous Dynamical Systems  Volume 18, Issue 2/3, Pages : 449 - 481, 2007

O. V. Kapustyan - (email), V. S. Melnik - (email), José Valero - (email)

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146

Continuous dependence of attractors on parameters of non-autonomous dynamical systems and infinite iterated function systems

Discrete and Continuous Dynamical Systems  Volume 18, Issue 2/3, Pages : 499 - 515, 2007

David Cheban - (email), Cristiana Mammana - (email)

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147

Global attractor for a composite system of nonlinear wave and plate equations

Communications on Pure and Applied Analysis  Volume 6, Issue 1, Pages : 113 - 140, 2006

Francesca Bucci - (email), Igor Chueshov - (email), Irena Lasiecka - (email)

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148

On a nonlinear Schrödinger equation modelling ultra-short laser pulses with a large noncompact global attractor

Discrete and Continuous Dynamical Systems  Volume 17, Issue 1, Pages : 121 - 132, 2006

Rolci Cipolatti - (email), Otared Kavian - (email)

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149

The global attractor for the solutions to the 3D viscous primitive equations

Discrete and Continuous Dynamical Systems  Volume 17, Issue 1, Pages : 159 - 179, 2006

Ning Ju - (email)

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150

A remark on the damped wave equation

Communications on Pure and Applied Analysis  Volume 5, Issue 3, Pages : 611 - 616, 2006

V. Pata - (email), Sergey Zelik - (email)

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151

The global attractor of the damped, forced generalized Korteweg de Vries-Benjamin-Ono equation in $L^2$

Discrete and Continuous Dynamical Systems  Volume 16, Issue 1, Pages : 121 - 136, 2006

Boling Guo - (email), Zhaohui Huo - (email)

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152

On a Burgers' type equation

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 5, Pages : 1121 - 1139, 2006

Chun-Hsiung Hsia - (email), Xiaoming Wang - (email)

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153

Global attractor for a parabolic-hyperbolic Penrose-Fife phase field system

Discrete and Continuous Dynamical Systems  Volume 15, Issue 4, Pages : 1193 - 1214, 2006

Elisabetta Rocca - (email), Giulio Schimperna - (email)

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154

Long time behaviour of a singular phase transition model

Discrete and Continuous Dynamical Systems  Volume 15, Issue 4, Pages : 1119 - 1135, 2006

Pavel Krejčí - (email), Jürgen Sprekels - (email)

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155

Global attractor for a class of doubly nonlinear abstract evolution equations

Discrete and Continuous Dynamical Systems  Volume 14, Issue 4, Pages : 801 - 820, 2006

Antonio Segatti - (email)

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156

Asymptotic behavior of the Klein-Gordon-Schrödinger lattice dynamical systems

Communications on Pure and Applied Analysis  Volume 5, Issue 1, Pages : 55 - 69, 2005

Ahmed Y. Abdallah - (email)

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157

Best response dynamics for continuous zero--sum games

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 1, Pages : 215 - 224, 2005

Josef Hofbauer - (email), Sylvain Sorin - (email)

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158

Regularity of the attractor for symmetric regularized wave equation

Communications on Pure and Applied Analysis  Volume 4, Issue 4, Pages : 695 - 704, 2005

Abdelghafour Atlas - (email)

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159

Rapidly converging phase field models via second order asymptotics

DCDS Supplements  Volume 2005, Issue Special, Pages : 142 - 152, 2005

G. Caginalp - (email), Christof Eck - (email)

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160

Exponential attractors for 2d magneto-micropolor fluid flow in bounded domain

DCDS Supplements  Volume 2005, Issue Special, Pages : 634 - 641, 2005

Kei Matsuura - (email)

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161

Upper semicontinuity of the attractor for a second order lattice dynamical system

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 4, Pages : 899 - 916, 2005

Ahmed Y. Abdallah - (email)

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162

On Fourier parametrization of global attractors for equations in one space dimension

Discrete and Continuous Dynamical Systems  Volume 13, Issue 3, Pages : 553 - 560, 2005

Igor Kukavica - (email)

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163

The long-time behaviour for nonlinear Schrödinger equation and its rational pseudospectral approximation

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 2, Pages : 469 - 488, 2005

Xinmin Xiang - (email)

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164

On non-autonomous sine-Gordon type equations with a simple global attractor and some averaging

Discrete and Continuous Dynamical Systems  Volume 12, Issue 1, Pages : 27 - 38, 2004

V. V. Chepyzhov - (email), M. I. Vishik - (email), W. L. Wendland - (email)

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165

Describing a class of global attractors via symbol sequences

Discrete and Continuous Dynamical Systems  Volume 12, Issue 3, Pages : 531 - 554, 2004

Jörg Härterich - (email), Matthias Wolfrum - (email)

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166

On the dimension of the attractor for the wave equation with nonlinear damping

Communications on Pure and Applied Analysis  Volume 4, Issue 1, Pages : 165 - 174, 2004

Dalibor Pražák - (email)

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167

Stability of Suliciu model for phase transitions

Communications on Pure and Applied Analysis  Volume 3, Issue 4, Pages : 545 - 556, 2004

Shaoqiang Tang - (email), Huijiang Zhao - (email)

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168

Regularity of the attractor for kp1-Burgers equation: the periodic case

Communications on Pure and Applied Analysis  Volume 3, Issue 2, Pages : 237 - 252, 2004

Mostafa Abounouh - (email), Olivier Goubet - (email)

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169

Existence of the global attractor for weakly damped, forced KdV equation on Sobolev spaces of negative index

Communications on Pure and Applied Analysis  Volume 3, Issue 2, Pages : 301 - 318, 2004

Kotaro Tsugawa - (email)

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170

Global attractors for damped semilinear wave equations

Discrete and Continuous Dynamical Systems  Volume 10, Issue 1/2, Pages : 31 - 52, 2003

John M. Ball - (email)

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171

Existence and dimension of the attractor for the Bénard problem on channel-like domains

Discrete and Continuous Dynamical Systems  Volume 10, Issue 1/2, Pages : 89 - 116, 2003

Marco Cabral - (email), Ricardo Rosa - (email), Roger Temam - (email)

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172

Spatially periodic equilibria for a non local evolution equation

Discrete and Continuous Dynamical Systems  Volume 9, Issue 4, Pages : 937 - 948, 2003

Saulo R.M. Barros - (email), Antônio L. Pereira - (email), Cláudio Possani - (email), Adilson Simonis - (email)

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173

Exponential attractor for the delayed logistic equation with a nonlinear diffusion

DCDS Supplements  Volume 2003, Issue Special, Pages : 717 - 726, 2003

Dalibor Pražák - (email)

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174

Asymptotic stability for dynamical systems associated with the one-dimensional Frémond model of shape memory alloys

DCDS Supplements  Volume 2003, Issue Special, Pages : 798 - 808, 2003

Ken Shirakawa - (email)

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175

On some problems related to de Giorgi’s conjecture

Communications on Pure and Applied Analysis  Volume 2, Issue 1, Pages : 101 - 106, 2002

Changfeng Gui - (email)

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176

Asymptotic behavior in a general diffusive three-species predator-prey model

Communications on Pure and Applied Analysis  Volume 1, Issue 2, Pages : 253 - 267, 2002

E. J. Avila–Vales - (email), T. Montañez–May - (email)

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177

Global smooth solutions of the complex Ginzburg-Landau equation and their dynamical properties

Discrete and Continuous Dynamical Systems  Volume 5, Issue 4, Pages : 825 - 848, 1999

Sen-Zhong Huang - (email), Peter Takáč - (email)

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178

Finite dimensional attractors for reaction-diffusion equations in $R^n$ with a strong nonlinearity

Discrete and Continuous Dynamical Systems  Volume 5, Issue 2, Pages : 399 - 424, 1999

Messoud Efendiev - (email), Alain Miranville - (email)

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179

Attractor for the dissipative Hamiltonian amplitude equation governing modulated wave instabilities

Discrete and Continuous Dynamical Systems  Volume 4, Issue 4, Pages : 783 - 793, 1998

Boling Guo - (email), Zhengde Dai - (email)

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180

Exponential attractors for nonautonomous first-order evolution equations

Discrete and Continuous Dynamical Systems  Volume 4, Issue 2, Pages : 225 - 240, 1998

Pierre Fabrie - (email), Alain Miranville - (email)

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181

Gevrey regularity and approximate inertial manifolds for the derivative Ginzburg-Landau equation in two spatial dimensions

Discrete and Continuous Dynamical Systems  Volume 2, Issue 4, Pages : 455 - 466, 1996

Boling Guo - (email), Bixiang Wang - (email)

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182

Upper bound on the dimension of the attractor for nonhomogeneous Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 2, Issue 1, Pages : 95 - 110, 1995

Alain Miranville - (email), Xiaoming Wang - (email)

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