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Asymptotic analyses and error estimates for a Cahn--Hilliard type phase field system modelling tumor growth

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 1, Pages : 37 - 54, 2016

Pierluigi Colli - (email), Gianni Gilardi - (email), Elisabetta Rocca - (email), Jürgen Sprekels - (email)

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2

Asymptotic analysis of the scattering problem for the Helmholtz equations with high wave numbers

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1159 - 1181, 2016

Daniel Bouche - (email), Youngjoon Hong - (email), Chang-Yeol Jung - (email)

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3

Fractional diffusion limit of a linear kinetic equation in a bounded domain

Kinetic and Related Models  Volume 10, Issue 3, Pages : 541 - 551, 2016

Pedro Aceves-Sánchez - (email), Christian Schmeiser - (email)

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4

Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime

Kinetic and Related Models  Volume 10, Issue 3, Pages : 553 - 571, 2016

Weizhu Bao - (email), Loïc Le Treust - (email), Florian Méhats - (email)

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5

How does variability in cell aging and growth rates influence the Malthus parameter?

Kinetic and Related Models  Volume 10, Issue 2, Pages : 481 - 512, 2016

Adélaïde Olivier - (email)

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6

Altruistic aging: The evolutionary dynamics balancing longevity and evolvability

Mathematical Biosciences and Engineering  Volume 14, Issue 2, Pages : 455 - 465, 2016

Minette Herrera - (email), Aaron Miller - (email), Joel Nishimura - (email)

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7

Homogenization-based numerical methods

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 5, Pages : i - ix, 2016

Emmanuel Frénod - (email)

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8

Asymptotic analysis of a nonsimple thermoelastic rod

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 5, Pages : 1475 - 1492, 2016

Moncef Aouadi - (email), Taoufik Moulahi - (email)

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9

Team organization may help swarms of flies to become invisible in closed waveguides

Inverse Problems and Imaging  Volume 10, Issue 4, Pages : 977 - 1006, 2016

Lucas Chesnel - (email), Sergei A. Nazarov - (email)

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10

On some variational problems set on domains tending to infinity

Discrete and Continuous Dynamical Systems  Volume 36, Issue 7, Pages : 3603 - 3621, 2016

Michel Chipot - (email), Aleksandar Mojsic - (email), Prosenjit Roy - (email)

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11

Time asymptotics for a critical case in fragmentation and growth-fragmentation equations

Kinetic and Related Models  Volume 9, Issue 2, Pages : 251 - 297, 2016

Marie Doumic - (email), Miguel Escobedo - (email)

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12

New asymptotic analysis method for phase field models in moving boundary problem with surface tension

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 3185 - 3213, 2015

Jie Wang - (email), Xiaoqiang Wang - (email)

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13

KdV waves in atomic chains with nonlocal interactions

Discrete and Continuous Dynamical Systems  Volume 36, Issue 4, Pages : 2047 - 2067, 2015

Michael Herrmann - (email), Alice Mikikits-Leitner - (email)

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14

Influence of a spatial structure on the long time behavior of a competitive Lotka-Volterra type system

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 2, Pages : 469 - 493, 2015

Hélène Leman - (email), Sylvie Méléard - (email), Sepideh Mirrahimi - (email)

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15

Mathematical modelling of a mushy region formation during sulphation of calcium carbonate

Networks and Heterogeneous Media  Volume 9, Issue 4, Pages : 635 - 654, 2014

Christos V. Nikolopoulos - (email)

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16

On a Cahn-Hilliard type phase field system related to tumor growth

Discrete and Continuous Dynamical Systems  Volume 35, Issue 6, Pages : 2423 - 2442, 2014

Pierluigi Colli - (email), Gianni Gilardi - (email), Danielle Hilhorst - (email)

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17

Mathematical modelling of multi conductor cables

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 3, Pages : 521 - 546, 2014

Geoffrey Beck - (email), Sebastien Imperiale - (email), Patrick Joly - (email)

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18

Singularly perturbed population models with reducible migration matrix 1. Sova-Kurtz theorem and the convergence to the aggregated model

Discrete and Continuous Dynamical Systems  Volume 35, Issue 2, Pages : 617 - 635, 2014

Jacek Banasiak - (email), Amartya Goswami - (email)

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19

On some properties of the Mittag-Leffler function $\mathbf{E_\alpha(-t^\alpha)}$, completely monotone for $\mathbf{t> 0}$ with $\mathbf{0<\alpha<1}$

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 7, Pages : 2267 - 2278, 2014

Francesco Mainardi - (email)

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20

Two-Scale numerical simulation of sand transport problems

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 1, Pages : 151 - 168, 2014

Ibrahima Faye - (email), Emmanuel Frénod - (email), Diaraf Seck - (email)

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21

Geometric two-scale convergence on manifold and applications to the Vlasov equation

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 1, Pages : 223 - 241, 2014

Aurore Back - (email), Emmanuel Frénod - (email)

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22

A mathematical model for value estimation with public information and herding

Kinetic and Related Models  Volume 7, Issue 1, Pages : 29 - 44, 2013

Marcello Delitala - (email), Tommaso Lorenzi - (email)

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23

Evolutionary branching patterns in predator-prey structured populations

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 9, Pages : 2267 - 2282, 2013

Marcello Delitala - (email), Tommaso Lorenzi - (email)

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24

Wavespeed selection in the heterogeneous Fisher equation: Slowly varying inhomogeneity

Networks and Heterogeneous Media  Volume 8, Issue 1, Pages : 343 - 378, 2013

John R. King - (email)

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25

Modeling a hard, thin curvilinear interface

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 6, Pages : 1569 - 1586, 2013

Frédéric Lebon - (email), Raffaella Rizzoni - (email)

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26

Adaptation and migration of a population between patches

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 3, Pages : 753 - 768, 2012

Sepideh Mirrahimi - (email)

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27

Markovian retrial queues with two way communication

Journal of Industrial and Management Optimization  Volume 8, Issue 4, Pages : 781 - 806, 2012

Jesus R. Artalejo - (email), Tuan Phung-Duc - (email)

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28

Asymptotic analysis of continuous opinion dynamics models under bounded confidence

Communications on Pure and Applied Analysis  Volume 12, Issue 3, Pages : 1487 - 1499, 2012

Domenica Borra - (email), Tommaso Lorenzi - (email)

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29

Stability of boundary layers for the inflow compressible Navier-Stokes equations

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 7, Pages : 2595 - 2613, 2012

Jing Wang - (email), Lining Tong - (email)

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30

Long time numerical stability and asymptotic analysis for the viscoelastic Oldroyd flows

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 5, Pages : 1551 - 1573, 2012

Kun Wang - (email), Yinnian He - (email), Yanping Lin - (email)

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31

Stochastic phase dynamics of noise driven synchronization of two conditional coherent oscillators

Discrete and Continuous Dynamical Systems  Volume 32, Issue 8, Pages : 2971 - 2995, 2012

William F. Thompson - (email), Rachel Kuske - (email), Yue-Xian Li - (email)

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32

Macrotransport in nonlinear, reactive, shear flows

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 2125 - 2146, 2012

Eric S. Wright - (email)

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33

Continuous limit of a crowd motion and herding model: Analysis and numerical simulations

Kinetic and Related Models  Volume 4, Issue 4, Pages : 1025 - 1047, 2011

Martin Burger - (email), Peter Alexander Markowich - (email), Jan-Frederik Pietschmann - (email)

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34

Averaged kinetic models for flows on unstructured networks

Kinetic and Related Models  Volume 4, Issue 4, Pages : 1081 - 1096, 2011

Michael Herty - (email), Christian Ringhofer - (email)

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35

Existence of nontrivial steady states for populations structured with respect to space and a continuous trait

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 83 - 96, 2011

Anton Arnold - (email), Laurent Desvillettes - (email), Céline Prévost - (email)

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36

Physiologically structured populations with diffusion and dynamic boundary conditions

Mathematical Biosciences and Engineering  Volume 8, Issue 2, Pages : 503 - 513, 2011

József Z. Farkas - (email), Peter Hinow - (email)

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37

Spectral stiff problems in domains surrounded by thin stiff and heavy bands: Local effects for eigenfunctions

Networks and Heterogeneous Media  Volume 6, Issue 1, Pages : 1 - 35, 2011

Delfina Gómez - (email), Sergey A. Nazarov - (email), Eugenia Pérez - (email)

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38

Non-standard dynamics of elastic composites

Networks and Heterogeneous Media  Volume 6, Issue 1, Pages : 89 - 109, 2011

Maksym Berezhnyi - (email), Evgen Khruslov - (email)

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39

Optimal transmission through a randomly perturbed waveguide in the localization regime

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 3, Pages : 597 - 621, 2011

Josselin Garnier - (email)

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40

Decay estimation for positive solutions of a $\gamma$-Laplace equation

Discrete and Continuous Dynamical Systems  Volume 30, Issue 2, Pages : 547 - 558, 2011

Yutian Lei - (email), Congming Li - (email), Chao Ma - (email)

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41

Asymptotic analysis of a diffuse interface relaxation to a nonlocal optimal partition problem

Discrete and Continuous Dynamical Systems  Volume 29, Issue 4, Pages : 1443 - 1461, 2010

Qiang Du - (email), Jingyan Zhang - (email)

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42

Asymptotic behavior for solutions of some integral equations

Communications on Pure and Applied Analysis  Volume 10, Issue 1, Pages : 193 - 207, 2010

Yutian Lei - (email), Chao Ma - (email)

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43

Singularly perturbed degenerated parabolic equations and application to seabed morphodynamics in tided environment

Discrete and Continuous Dynamical Systems  Volume 29, Issue 3, Pages : 1001 - 1030, 2010

Ibrahima Faye - (email), Emmanuel Frénod - (email), Diaraf Seck - (email)

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44

Derivation of a non-hydrostatic shallow water model; Comparison with Saint-Venant and Boussinesq systems

Discrete and Continuous Dynamical Systems - Series B  Volume 10, Issue 4, Pages : 733 - 759, 2008

Marie-Odile Bristeau - (email), Jacques Sainte-Marie - (email)

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45

The singularity analysis of solutions to some integral equations

Communications on Pure and Applied Analysis  Volume 6, Issue 2, Pages : 453 - 464, 2007

Congming Li - (email), Jisun Lim - (email)

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46

Stretching of heated threads with temperature-dependent viscosity: Asymptotic analysis

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 3, Pages : 553 - 572, 2007

P. D. Howell - (email), J. J. Wylie - (email), Huaxiong Huang - (email), Robert M. Miura - (email)

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47

Decay of solutions to nonlinear parabolic equations: renormalization and rigorous results

Discrete and Continuous Dynamical Systems - Series B  Volume 3, Issue 4, Pages : 565 - 588, 2003

H. Merdan - (email), G. Caginalp - (email)

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48

Derivation of viscous Saint-Venant system for laminar shallow water; Numerical validation

Discrete and Continuous Dynamical Systems - Series B  Volume 1, Issue 1, Pages : 89 - 102, 2001

Jean-Frédéric Gerbeau - (email), Benoit Perthame - (email)

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