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Homogenization of optimal control problems on curvilinear networks with a periodic microstructure -- Results on $S$-homogenization and $\Gamma$-convergence

Numerical Algebra, Control and Optimization  Volume 7, Issue 1, Pages : 51 - 76, 2017

Erik Kropat - (email)

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2

Advection control in parabolic PDE systems for competitive populations

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 3, Pages : 1049 - 1072, 2017

Kokum R. De Silva - (email), Tuoc V. Phan - (email), Suzanne Lenhart - (email)

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3

Stability of non-autonomous difference equations with applications to transport and wave propagation on networks

Networks and Heterogeneous Media  Volume 11, Issue 4, Pages : 563 - 601, 2016

Yacine Chitour - (email), Guilherme Mazanti - (email), Mario Sigalotti - (email)

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4

Competition with high number of agents and a major one

Journal of Dynamics and Games  Volume 3, Issue 4, Pages : 319 - 334, 2016

Valeria De Mattei - (email)

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5

Minimum sensitivity realizations of networks of linear systems

Numerical Algebra, Control and Optimization  Volume 6, Issue 3, Pages : 241 - 262, 2016

Uwe Helmke - (email), Michael Schönlein - (email)

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6

On the micro-to-macro limit for first-order traffic flow models on networks

Networks and Heterogeneous Media  Volume 11, Issue 3, Pages : 395 - 413, 2016

Emiliano Cristiani - (email), Smita Sahu - (email)

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7

Evolution of spoon-shaped networks

Networks and Heterogeneous Media  Volume 11, Issue 3, Pages : 509 - 526, 2016

Alessandra Pluda - (email)

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8

The shape derivative for an optimization problem in lithotripsy

Evolution Equations and Control Theory  Volume 5, Issue 3, Pages : 399 - 430, 2016

Barbara Kaltenbacher - (email), Gunther Peichl - (email)

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9

Adjoint sensitivity analysis of a tumor growth model and its application to spatiotemporal radiotherapy optimization

Mathematical Biosciences and Engineering  Volume 13, Issue 6, Pages : 1131 - 1142, 2016

Krzysztof Fujarewicz - (email), Krzysztof Łakomiec - (email)

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10

A nonlocal sample dependence SDE-PDE system modeling proton dynamics in a tumor

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 7, Pages : 2233 - 2254, 2016

Peter E. Kloeden - (email), Stefanie Sonner - (email), Christina Surulescu - (email)

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11

Local market structure in a Hotelling town

Journal of Dynamics and Games  Volume 3, Issue 1, Pages : 75 - 100, 2016

Alberto A. Pinto - (email), João P. Almeida - (email), Telmo Parreira - (email)

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12

Mathematics of nonlinear acoustics

Evolution Equations and Control Theory  Volume 4, Issue 4, Pages : 447 - 491, 2015

Barbara Kaltenbacher - (email)

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13

Linear model of traffic flow in an isolated network

DCDS Supplements  Volume 2015, Issue special, Pages : 670 - 677, 2015

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

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14

A model of malignant gliomas throug symmetry reductions

DCDS Supplements  Volume 2015, Issue special, Pages : 974 - 980, 2015

María Rosa - (email), María S. Bruzón - (email), M. L. Gandarias - (email)

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15

A destination-preserving model for simulating Wardrop equilibria in traffic flow on networks

Networks and Heterogeneous Media  Volume 10, Issue 4, Pages : 857 - 876, 2015

Emiliano Cristiani - (email), Fabio S. Priuli - (email)

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16

A model of riots dynamics: Shocks, diffusion and thresholds

Networks and Heterogeneous Media  Volume 10, Issue 3, Pages : 443 - 475, 2015

Henri Berestycki - (email), Jean-Pierre Nadal - (email), Nancy Rodíguez - (email)

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17

Integrating release and dispatch policies in production models

Networks and Heterogeneous Media  Volume 10, Issue 3, Pages : 511 - 526, 2015

Dieter Armbruster - (email), Michael Herty - (email), Xinping Wang - (email), Lindu Zhao - (email)

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18

Parameters identification for a model of T cell homeostasis

Mathematical Biosciences and Engineering  Volume 12, Issue 5, Pages : 917 - 936, 2015

Houssein Ayoub - (email), Bedreddine Ainseba - (email), Michel Langlais - (email), Rodolphe Thiébaut - (email)

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19

Eliminating restrictions of time-delayed feedback control using equivariance

Discrete and Continuous Dynamical Systems  Volume 36, Issue 1, Pages : 451 - 467, 2015

Isabelle Schneider - (email), Matthias Bosewitz - (email)

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20

A model problem for Mean Field Games on networks

Discrete and Continuous Dynamical Systems  Volume 35, Issue 9, Pages : 4173 - 4192, 2015

Fabio Camilli - (email), Elisabetta Carlini - (email), Claudio Marchi - (email)

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21

An age-structured model for the coupled dynamics of HIV and HSV-2

Mathematical Biosciences and Engineering  Volume 12, Issue 4, Pages : 803 - 840, 2015

Georgi Kapitanov - (email), Christina Alvey - (email), Katia Vogt-Geisse - (email), Zhilan Feng - (email)

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22

A double age-structured model of the co-infection of tuberculosis and HIV

Mathematical Biosciences and Engineering  Volume 12, Issue 1, Pages : 23 - 40, 2014

Georgi Kapitanov - (email)

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23

An easy-to-use algorithm for simulating traffic flow on networks: Theoretical study

Networks and Heterogeneous Media  Volume 9, Issue 3, Pages : 519 - 552, 2014

Maya Briani - (email), Emiliano Cristiani - (email)

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24

Paralic confinement computations in coastal environment with interlocked areas

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 1, Pages : 45 - 54, 2014

Jean-Philippe Bernard - (email), Emmanuel Frénod - (email), Antoine Rousseau - (email)

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25

Sensor deployment for pipeline leakage detection via optimal boundary control strategies

Journal of Industrial and Management Optimization  Volume 11, Issue 1, Pages : 199 - 216, 2014

Chao Xu - (email), Yimeng Dong - (email), Zhigang Ren - (email), Huachen Jiang - (email), Xin Yu - (email)

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26

Numerical network models and entropy principles for isothermal junction flow

Networks and Heterogeneous Media  Volume 9, Issue 1, Pages : 65 - 95, 2014

Gunhild A. Reigstad - (email)

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27

An easy-to-use algorithm for simulating traffic flow on networks: Numerical experiments

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 3, Pages : 379 - 394, 2014

Gabriella Bretti - (email), Maya Briani - (email), Emiliano Cristiani - (email)

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28

Interaction of road networks and pedestrian motion at crosswalks

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 3, Pages : 363 - 377, 2014

Raul Borsche - (email), Anne Meurer - (email)

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29

Traffic light control: A case study

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 3, Pages : 483 - 501, 2014

Simone Göttlich - (email), Ute Ziegler - (email)

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30

Algebraic characterization of autonomy and controllability of behaviours of spatially invariant systems

Mathematical Control and Related Fields  Volume 4, Issue 1, Pages : 115 - 124, 2013

Amol Sasane - (email)

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31

Modeling confinement in Étang de Thau: Numerical simulations and multi-scale aspects

DCDS Supplements  Volume 2013, Issue special, Pages : 69 - 76, 2013

Jean-Philippe Bernard - (email), Emmanuel Frénod - (email), Antoine Rousseau - (email)

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32

Fluid-structure interaction with and without internal dissipation of the structure: A contrast study in stability

Evolution Equations and Control Theory  Volume 2, Issue 4, Pages : 563 - 598, 2013

George Avalos - (email), Roberto Triggiani - (email)

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33

Uniqueness and Hölder type stability of continuation for the linear thermoelasticity system with residual stress

Evolution Equations and Control Theory  Volume 2, Issue 4, Pages : 679 - 693, 2013

Nanhee Kim - (email)

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34

A dynamical two-dimensional traffic model in an anisotropic network

Networks and Heterogeneous Media  Volume 8, Issue 3, Pages : 663 - 684, 2013

Tibye Saumtally - (email), Jean-Patrick Lebacque - (email), Habib Haj-Salem - (email)

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35

Numerical discretization of Hamilton--Jacobi equations on networks

Networks and Heterogeneous Media  Volume 8, Issue 3, Pages : 685 - 705, 2013

Simone Göttlich - (email), Ute Ziegler - (email), Michael Herty - (email)

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36

An introduction to migration-selection PDE models

Discrete and Continuous Dynamical Systems  Volume 33, Issue 10, Pages : 4349 - 4373, 2013

Yuan Lou - (email), Thomas Nagylaki - (email), Wei-Ming Ni - (email)

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37

Rational decay rates for a PDE heat--structure interaction: A frequency domain approach

Evolution Equations and Control Theory  Volume 2, Issue 2, Pages : 233 - 253, 2013

George Avalos - (email), Roberto Triggiani - (email)

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38

A structural model of the VEGF signalling pathway: Emergence of robustness and redundancy properties

Mathematical Biosciences and Engineering  Volume 10, Issue 1, Pages : 167 - 184, 2012

Floriane Lignet - (email), Vincent Calvez - (email), Emmanuel Grenier - (email), Benjamin Ribba - (email)

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39

Dispersive waves with multiple tunnel effect on a star-shaped network

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 3, Pages : 783 - 791, 2012

F. Ali Mehmeti - (email), R. Haller-Dintelmann - (email), V. Régnier - (email)

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40

A division-dependent compartmental model for computing cell numbers in CFSE-based lymphocyte proliferation assays

Mathematical Biosciences and Engineering  Volume 9, Issue 4, Pages : 699 - 736, 2012

H. Thomas Banks - (email), W. Clayton Thompson - (email), Cristina Peligero - (email), Sandra Giest - (email), Jordi Argilaguet - (email), Andreas Meyerhans - (email)

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41

Lyapunov inequalities for partial differential equations at radial higher eigenvalues

Discrete and Continuous Dynamical Systems  Volume 33, Issue 1, Pages : 111 - 122, 2012

Antonio Cañada - (email), Salvador Villegas - (email)

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42

Local well-posedness of quasi-linear systems generalizing KdV

Communications on Pure and Applied Analysis  Volume 12, Issue 2, Pages : 899 - 921, 2012

Timur Akhunov - (email)

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43

Compactness of discrete approximate solutions to parabolic PDEs - Application to a turbulence model

Communications on Pure and Applied Analysis  Volume 11, Issue 6, Pages : 2371 - 2391, 2012

T. Gallouët - (email), J.-C. Latché - (email)

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44

Carleman estimates for some anisotropic elasticity systems and applications

Evolution Equations and Control Theory  Volume 1, Issue 1, Pages : 141 - 154, 2012

Victor Isakov - (email)

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45

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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46

Global Carleman estimate on a network for the wave equation and application to an inverse problem

Mathematical Control and Related Fields  Volume 1, Issue 3, Pages : 307 - 330, 2011

Lucie Baudouin - (email), Emmanuelle Crépeau - (email), Julie Valein - (email)

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47

Controlling malaria with indoor residual spraying in spatially heterogenous environments

Mathematical Biosciences and Engineering  Volume 8, Issue 4, Pages : 889 - 914, 2011

Mo'tassem Al-Arydah - (email), Robert Smith? - (email)

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48

Nirenberg's contributions to complex analysis

Discrete and Continuous Dynamical Systems  Volume 30, Issue 2, Pages : 537 - 545, 2011

Joseph J Kohn - (email)

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49

An effective design method to produce stationary chemical reaction-diffusion patterns

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 189 - 207, 2010

Patrick De Kepper - (email), István Szalai - (email)

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50

A review of conservation laws on networks

Networks and Heterogeneous Media  Volume 5, Issue 3, Pages : 565 - 581, 2010

Mauro Garavello - (email)

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51

A method for analyzing the stability of the resting state for a model of pacemaker cells surrounded by stable cells

Mathematical Biosciences and Engineering  Volume 7, Issue 3, Pages : 505 - 526, 2010

Robert Artebrant - (email), Aslak Tveito - (email), Glenn T. Lines - (email)

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52

Local stabilization and network synchronization: The case of stationary regimes

Mathematical Biosciences and Engineering  Volume 7, Issue 3, Pages : 623 - 639, 2010

Stefano Fasani - (email), Sergio Rinaldi - (email)

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53

Discrete and continuous random water wave dynamics

Discrete and Continuous Dynamical Systems  Volume 28, Issue 4, Pages : 1603 - 1633, 2010

André Nachbin - (email)

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On the regularity of minimizers to degenerate functionals

Communications on Pure and Applied Analysis  Volume 9, Issue 5, Pages : 1311 - 1318, 2010

P. Di Gironimo - (email), L. D’Onofrio - (email)

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Electromagnetic circuits

Networks and Heterogeneous Media  Volume 5, Issue 2, Pages : 335 - 360, 2010

Graeme W. Milton - (email), Pierre Seppecher - (email)

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56

Level set based brain aneurysm capturing in 3D

Inverse Problems and Imaging  Volume 4, Issue 2, Pages : 241 - 255, 2010

Bin Dong - (email), Aichi Chien - (email), Yu Mao - (email), Jian Ye - (email), Fernando Vinuela - (email), Stanley Osher - (email)

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57

On fluido-dynamic models for urban traffic

Networks and Heterogeneous Media  Volume 4, Issue 1, Pages : 107 - 126, 2009

Mauro Garavello - (email), Benedetto Piccoli - (email)

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Vertex control of flows in networks

Networks and Heterogeneous Media  Volume 3, Issue 4, Pages : 709 - 722, 2008

Klaus-Jochen Engel - (email), Marjeta Kramar Fijavž - (email), Rainer Nagel - (email), Eszter Sikolya - (email)

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59

The role of feedback in the formation of morphogen territories

Mathematical Biosciences and Engineering  Volume 5, Issue 2, Pages : 277 - 298, 2008

David Iron - (email), Adeela Syed - (email), Heidi Theisen - (email), Tamas Lukacsovich - (email), Mehrangiz Naghibi - (email), Lawrence J. Marsh - (email), Frederic Y. M. Wan - (email), Qing Nie - (email)

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60

Mathematical analysis of a PDE epidemiological model applied to scrapie transmission

Communications on Pure and Applied Analysis  Volume 7, Issue 3, Pages : 659 - 675, 2008

Najat Ziyadi - (email), Said Boulite - (email), M. Lhassan Hbid - (email), Suzanne Touzeau - (email)

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61

An existence result for a P.D.E. with hysteresis, convection and a nonlinear boundary condition

DCDS Supplements  Volume 2007, Issue Special, Pages : 344 - 353, 2007

Michela Eleuteri - (email)

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62

An asymptotic convergence result for a system of partial differential equations with hysteresis

Communications on Pure and Applied Analysis  Volume 6, Issue 4, Pages : 1131 - 1143, 2007

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

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A continuum-discrete model for supply chains dynamics

Networks and Heterogeneous Media  Volume 2, Issue 4, Pages : 661 - 694, 2007

Gabriella Bretti - (email), Ciro D’Apice - (email), Rosanna Manzo - (email), Benedetto Piccoli - (email)

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Adjoint calculus for optimization of gas networks

Networks and Heterogeneous Media  Volume 2, Issue 4, Pages : 733 - 750, 2007

Michael Herty - (email), Veronika Sachers - (email)

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65

Renormalization group analysis of nonlinear diffusion equations with time dependent coefficients: Analytical results

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 4, Pages : 699 - 715, 2007

G. A. Braga - (email), Frederico Furtado - (email), Jussara M. Moreira - (email), Leonardo T. Rolla - (email)

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Brain anatomical feature detection by solving partial differential equations on general manifolds

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 3, Pages : 605 - 618, 2007

Lok Ming Lui - (email), Yalin Wang - (email), Tony F. Chan - (email), Paul M. Thompson - (email)

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67

Optimal control for continuous supply network models

Networks and Heterogeneous Media  Volume 1, Issue 4, Pages : 675 - 688, 2006

Claus Kirchner - (email), Michael Herty - (email), Simone Göttlich - (email), Axel Klar - (email)

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Visualisation of the numerical solution of partial differential equation systems in three space dimensions and its importance for mathematical models in biology

Mathematical Biosciences and Engineering  Volume 3, Issue 4, Pages : 571 - 582, 2006

Heiko Enderling - (email), Alexander R.A. Anderson - (email), Mark A.J. Chaplain - (email), Glenn W.A. Rowe - (email)

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69

Coupling conditions for gas networks governed by the isothermal Euler equations

Networks and Heterogeneous Media  Volume 1, Issue 2, Pages : 295 - 314, 2006

Mapundi K. Banda - (email), Michael Herty - (email), Axel Klar - (email)

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Gas flow in pipeline networks

Networks and Heterogeneous Media  Volume 1, Issue 1, Pages : 41 - 56, 2006

Mapundi K. Banda - (email), Michael Herty - (email), Axel Klar - (email)

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Controllability of couette flows

Communications on Pure and Applied Analysis  Volume 5, Issue 1, Pages : 201 - 211, 2005

Michael Schmidt - (email), Emmanuel Trélat - (email)

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72

Renormalization group calculation of asymptotically self-similar dynamics

DCDS Supplements  Volume 2005, Issue Special, Pages : 131 - 141, 2005

G. A. Braga - (email), Frederico Furtado - (email), Vincenzo Isaia - (email)

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73

A General Mathematical Method for Investigating the Thymic Microenvironment, Thymocyte Development, and Immunopathogenesis

Mathematical Biosciences and Engineering  Volume 1, Issue 2, Pages : 289 - 305, 2004

Guanyu Wang - (email), Gerhard R. F. Krueger - (email)

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74

Analysis and numerical approximation of a class of two-way diffusions

Communications on Pure and Applied Analysis  Volume 2, Issue 1, Pages : 91 - 99, 2002

G. Wei - (email), P. Clifford - (email)

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75

Global existence of solutions to a reaction diffusion system based upon carbonate reaction kinetics

Communications on Pure and Applied Analysis  Volume 1, Issue 1, Pages : 77 - 84, 2001

Congming Li - (email), Eric S. Wright - (email)

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On Maxwell's system with a thermal effect

Discrete and Continuous Dynamical Systems - Series B  Volume 1, Issue 4, Pages : 485 - 494, 2001

J. J. Morgan - (email), Hong-Ming Yin - (email)

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Existence results for general systems of differential equations on one-dimensional networks and prewavelets approximation

Discrete and Continuous Dynamical Systems  Volume 4, Issue 2, Pages : 273 - 300, 1998

Denis Mercier - (email), Serge Nicaise - (email)

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