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(Non)local and (non)linear free boundary problems

Discrete and Continuous Dynamical Systems - Series S  Volume 11, Issue 3, Pages : 465 - 476, 2017

Serena Dipierro - (email), Enrico Valdinoci - (email)

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2

Derivation of limit equations for a singular perturbation of a 3D periodic Boussinesq system

Discrete and Continuous Dynamical Systems  Volume 37, Issue 12, Pages : 5979 - 6034, 2017

Stefano Scrobogna - (email)

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3

A concentration phenomenon of the least energy solution to non-autonomous elliptic problems with a totally degenerate potential

Communications on Pure and Applied Analysis  Volume 16, Issue 2, Pages : 671 - 698, 2017

Shun Kodama - (email)

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4

Critical mass of degenerate Keller-Segel system with no-flux and Neumann boundary conditions

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1603 - 1630, 2016

Yoshifumi Mimura - (email)

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5

Long-time behavior of a fully discrete Lagrangian scheme for a family of fourth order equations

Discrete and Continuous Dynamical Systems  Volume 37, Issue 1, Pages : 405 - 434, 2016

Horst Osberger - (email)

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6

Traveling wave solutions with convex domains for a free boundary problem

Discrete and Continuous Dynamical Systems  Volume 37, Issue 2, Pages : 905 - 914, 2016

Harunori Monobe - (email), Hirokazu Ninomiya - (email)

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7

Analysis of an irregular boundary layer behavior for the steady state flow of a Boussinesq fluid

Discrete and Continuous Dynamical Systems  Volume 37, Issue 2, Pages : 1039 - 1059, 2016

Christos Sourdis - (email)

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8

Free boundary problems for systems of Stokes equations

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 5, Pages : 1455 - 1468, 2016

Avner Friedman - (email)

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9

Solidification and separation in saline water

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 1, Pages : 139 - 155, 2015

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

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10

Local well-posedness of free surface problems for the Navier-Stokes equations in a general domain

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 1, Pages : 315 - 342, 2015

Yoshihiro Shibata - (email)

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11

Singular perturbation and bifurcation of diffuse transition layers in inhomogeneous media, part II

Networks and Heterogeneous Media  Volume 10, Issue 4, Pages : 897 - 948, 2015

Chaoqun Huang - (email), Nung Kwan Yip - (email)

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12

Least energy solutions for an elliptic problem involving sublinear term and peaking phenomenon

Communications on Pure and Applied Analysis  Volume 14, Issue 6, Pages : 2411 - 2429, 2015

Qiuping Lu - (email), Zhi Ling - (email)

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13

Viscosity dominated limit of global solutions to a hyperbolic equation in MEMS

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 833 - 849, 2015

Jingyu Li - (email), Chuangchuang Liang - (email)

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14

Nonlocal-interaction equations on uniformly prox-regular sets

Discrete and Continuous Dynamical Systems  Volume 36, Issue 3, Pages : 1209 - 1247, 2015

José A. Carrillo - (email), Dejan Slepčev - (email), Lijiang Wu - (email)

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15

Passive scalars, moving boundaries, and Newton's law of cooling

Discrete and Continuous Dynamical Systems  Volume 36, Issue 3, Pages : 1383 - 1413, 2015

Juhi Jang - (email), Ian Tice - (email)

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16

Behavior of radially symmetric solutions for a free boundary problem related to cell motility

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 5, Pages : 989 - 997, 2015

Harunori Monobe - (email)

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17

Existence of weak solutions for a PDE system describing phase separation and damage processes including inertial effects

Discrete and Continuous Dynamical Systems  Volume 35, Issue 6, Pages : 2565 - 2590, 2014

Christian Heinemann - (email), Christiane Kraus - (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

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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20

Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi--Dirac statistics

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 139 - 154, 2014

Jean Dolbeault - (email), Robert Stańczy - (email)

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21

Multiple existence of traveling waves of a free boundary problem describing cell motility

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 3, Pages : 789 - 799, 2014

Harunori Monobe - (email), Hirokazu Ninomiya - (email)

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22

On two phase free boundary problems governed by elliptic equations with distributed sources

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 4, Pages : 673 - 693, 2014

Daniela De Silva - (email), Fausto Ferrari - (email), Sandro Salsa - (email)

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23

On the converse problem for the Gross-Pitaevskii equations with a large parameter

Discrete and Continuous Dynamical Systems  Volume 34, Issue 6, Pages : 2481 - 2493, 2013

Norman E. Dancer - (email)

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24

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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25

Regularity of a vector valued two phase free boundary problems

DCDS Supplements  Volume 2013, Issue special, Pages : 365 - 374, 2013

Huiqiang Jiang - (email)

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26

Singular perturbation and bifurcation of diffuse transition layers in inhomogeneous media, part I

Networks and Heterogeneous Media  Volume 8, Issue 4, Pages : 1009 - 1034, 2013

Chaoqun Huang - (email), Nung Kwan Yip - (email)

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27

Uniqueness for Keller-Segel-type chemotaxis models

Discrete and Continuous Dynamical Systems  Volume 34, Issue 4, Pages : 1319 - 1338, 2013

José Antonio Carrillo - (email), Stefano Lisini - (email), Edoardo Mainini - (email)

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28

The degenerate and non-degenerate deep quench obstacle problem: A numerical comparison

Networks and Heterogeneous Media  Volume 8, Issue 1, Pages : 37 - 64, 2013

L’ubomír Baňas - (email), Amy Novick-Cohen - (email), Robert Nürnberg - (email)

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29

Canard trajectories in 3D piecewise linear systems

Discrete and Continuous Dynamical Systems  Volume 33, Issue 10, Pages : 4595 - 4611, 2013

Rafel Prohens - (email), Antonio E. Teruel - (email)

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30

$L^\infty$ estimation of the LDG method for 1-d singularly perturbed convection-diffusion problems

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 5, Pages : 1493 - 1505, 2013

Huiqing Zhu - (email), Runchang Lin - (email)

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31

Geometric inequalities and symmetry results for elliptic systems

Discrete and Continuous Dynamical Systems  Volume 33, Issue 8, Pages : 3473 - 3496, 2013

Serena Dipierro - (email)

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32

On a mathematical model of tumor growth based on cancer stem cells

Mathematical Biosciences and Engineering  Volume 10, Issue 1, Pages : 263 - 278, 2012

J. Ignacio Tello - (email)

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33

PDE problems arising in mathematical biology

Networks and Heterogeneous Media  Volume 7, Issue 4, Pages : 691 - 703, 2012

Avner Friedman - (email)

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34

Convexity of the free boundary for an exterior free boundary problem involving the perimeter

Communications on Pure and Applied Analysis  Volume 12, Issue 3, Pages : 1431 - 1443, 2012

Hayk Mikayelyan - (email), Henrik Shahgholian - (email)

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35

On the validity of formal asymptotic expansions in Allen-Cahn equation and FitzHugh-Nagumo system with generic initial data

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 6, Pages : 1639 - 1649, 2012

Matthieu Alfaro - (email), Hiroshi Matano - (email)

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36

Conservation laws in mathematical biology

Discrete and Continuous Dynamical Systems  Volume 32, Issue 9, Pages : 3081 - 3097, 2012

Avner Friedman - (email)

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37

Symmetries and blow-up phenomena for a Dirichlet problem with a large parameter

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 1935 - 1957, 2012

Pierpaolo Esposito - (email), Maristella Petralla - (email)

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38

Two theorems on singularly perturbed semigroups with applications to models of applied mathematics

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 3, Pages : 735 - 757, 2012

Adam Bobrowski - (email), Radosław Bogucki - (email)

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39

Sharp interface limit of the Fisher-KPP equation

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 1 - 18, 2011

Matthieu Alfaro - (email), Arnaud Ducrot - (email)

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40

Investigating the steady state of multicellular spheroids by revisiting the two-fluid model

Mathematical Biosciences and Engineering  Volume 8, Issue 2, Pages : 239 - 252, 2011

Antonio Fasano - (email), Marco Gabrielli - (email), Alberto Gandolfi - (email)

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41

Global bifurcation and stable two-phase separation for a phase field model in a disk

Discrete and Continuous Dynamical Systems  Volume 30, Issue 3, Pages : 791 - 806, 2011

Yasuhito Miyamoto - (email)

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42

Phase separation in a gravity field

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 2, Pages : 391 - 407, 2010

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

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43

The existence and structure of large spiky steady states for S-K-T competition systems with cross-diffusion

Discrete and Continuous Dynamical Systems  Volume 29, Issue 1, Pages : 367 - 385, 2010

Yaping Wu - (email), Qian Xu - (email)

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44

Transversal periodic-to-periodic homoclinic orbits in singularly perturbed systems

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 2, Pages : 367 - 387, 2010

Flaviano Battelli - (email), Ken Palmer - (email)

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45

A simple proof of well-posedness for the free-surface incompressible Euler equations

Discrete and Continuous Dynamical Systems - Series S  Volume 3, Issue 3, Pages : 429 - 449, 2010

Daniel Coutand - (email), Steve Shkoller - (email)

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46

On the transverse instability of one dimensional capillary-gravity waves

Discrete and Continuous Dynamical Systems - Series B  Volume 13, Issue 4, Pages : 859 - 872, 2010

Frédéric Rousset - (email), Nikolay Tzvetkov - (email)

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47

Flows in porous media with erosion of the solid matrix

Networks and Heterogeneous Media  Volume 5, Issue 1, Pages : 63 - 95, 2010

Leda Bucciantini - (email), Angiolo Farina - (email), Antonio Fasano - (email)

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48

Singular perturbation systems with stochastic forcing and the renormalization group method

Discrete and Continuous Dynamical Systems  Volume 26, Issue 4, Pages : 1241 - 1268, 2009

Nathan Glatt-Holtz - (email), Mohammed Ziane - (email)

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49

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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50

Birth of canard cycles

Discrete and Continuous Dynamical Systems - Series S  Volume 2, Issue 4, Pages : 723 - 781, 2009

Freddy Dumortier - (email), Robert Roussarie - (email)

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51

Upper bounds for coarsening for the degenerate Cahn-Hilliard equation

Discrete and Continuous Dynamical Systems  Volume 25, Issue 1, Pages : 251 - 272, 2009

Amy Novick-Cohen - (email), Andrey Shishkov - (email)

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52

A semi-implicit spectral method for stochastic nonlocal phase-field models

Discrete and Continuous Dynamical Systems  Volume 25, Issue 2, Pages : 399 - 429, 2009

Tina Hartley - (email), Thomas Wanner - (email)

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53

Sign-changing multi-peak solutions for nonlinear Schrödinger equations with critical frequency

Communications on Pure and Applied Analysis  Volume 7, Issue 4, Pages : 883 - 903, 2008

Yohei Sato - (email)

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54

Heteroclinic connections in singularly perturbed systems

Discrete and Continuous Dynamical Systems - Series B  Volume 9, Issue 3/4, May, Pages : 431 - 461, 2008

Flaviano Battelli - (email), Ken Palmer - (email)

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55

Multiphase modeling and qualitative analysis of the growth of tumor cords

Networks and Heterogeneous Media  Volume 3, Issue 1, Pages : 43 - 83, 2008

Andrea Tosin - (email)

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56

Contour enhancement via a singular free boundary problem

DCDS Supplements  Volume 2007, Issue Special, Pages : 44 - 53, 2007

Anna Lisa Amadori - (email)

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57

Regular weak solutions to 3-D Cahn-Hilliard system in elastic solids

DCDS Supplements  Volume 2007, Issue Special, Pages : 824 - 833, 2007

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

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58

An invariant set generated by the domain topology for parabolic semiflows with small diffusion

Discrete and Continuous Dynamical Systems  Volume 18, Issue 4, Pages : 613 - 626, 2007

Nils Ackermann - (email), Thomas Bartsch - (email), Petr Kaplický - (email)

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59

Exponential approximations for the primitive equations of the ocean

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 2, Pages : 425 - 440, 2006

Roger Temam - (email), D. Wirosoetisno - (email)

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60

Forest defoliation scenarios

Mathematical Biosciences and Engineering  Volume 4, Issue 1, Pages : 15 - 28, 2006

Glenn Ledder - (email)

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61

Complex transient patterns on the disk

Discrete and Continuous Dynamical Systems  Volume 15, Issue 4, Pages : 1049 - 1078, 2006

Jonathan P. Desi - (email), Evelyn Sander - (email), Thomas Wanner - (email)

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62

A descent method for the free energy of multicomponent systems

Discrete and Continuous Dynamical Systems  Volume 15, Issue 2, Pages : 505 - 528, 2006

Herbert Gajewski - (email), Jens A. Griepentrog - (email)

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63

Analysis of a corner layer problem in anisotropic interfaces

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 2, Pages : 237 - 255, 2005

N. D. Alikakos - (email), P. W. Bates - (email), J. W. Cahn - (email), P. C. Fife - (email), G. Fusco - (email), G. B. Tanoglu - (email)

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64

Multiple stable patterns for some reaction-diffusion equation in disrupted environments

Discrete and Continuous Dynamical Systems  Volume 14, Issue 1, Pages : 93 - 116, 2005

Takanori Ide - (email), Kazuhiro Kurata - (email), Kazunaga Tanaka - (email)

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65

Interstitial Pressure And Fluid Motion In Tumor Cords

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 445 - 460, 2005

Alessandro Bertuzzi - (email), Antonio Fasano - (email), Alberto Gandolfi - (email), Carmela Sinisgalli - (email)

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66

Nonisothermal phase separation based on a microforce balance

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 3, Pages : 753 - 768, 2005

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

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67

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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68

Coexistence in a metapopulation model with explicit local dynamics

Mathematical Biosciences and Engineering  Volume 1, Issue 1, Pages : 131 - 145, 2004

Zhilan Feng - (email), Robert Swihart - (email), Yingfei Yi - (email), Huaiping Zhu - (email)

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69

A hierarchy of cancer models and their mathematical challenges

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 1, Pages : 147 - 159, 2003

Avner Friedman - (email)

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70

Modelling cell populations with spatial structure: Steady state and treatment-induced evolution

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 1, Pages : 161 - 186, 2003

Alessandro Bertuzzi - (email), Alberto d'Onofrio - (email), Antonio Fasano - (email), Alberto Gandolfi - (email)

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71

Asymptotic analysis of a two--dimensional coupled problem for compressible viscous flows

Discrete and Continuous Dynamical Systems  Volume 10, Issue 1/2, Pages : 137 - 163, 2003

Cristian A. Coclici - (email), Jörg Heiermann - (email), Gh. Moroşanu - (email), W. L. Wendland - (email)

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72

Heteroclinic foliation, global oscillations for the Nicholson-Bailey model and delay of stability loss

Discrete and Continuous Dynamical Systems  Volume 9, Issue 6, Pages : 1465 - 1492, 2003

Sze-Bi Hsu - (email), Ming-Chia Li - (email), Weishi Liu - (email), Mikhail Malkin - (email)

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73

Singular perturbation analysis for the reduction of complex chemistry in gaseous mixtures using the entropic structure

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 3, Pages : 433 - 456, 2002

Marc Massot - (email)

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74

A singular perturbed problem for semilinear wave equations with small parameter

Discrete and Continuous Dynamical Systems  Volume 5, Issue 3, Pages : 473 - 488, 1999

Han Yang - (email)

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75

On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems

Discrete and Continuous Dynamical Systems  Volume 2, Issue 2, Pages : 221 - 236, 1996

Daomin Cao - (email), Norman E. Dancer - (email), Ezzat S. Noussair - (email), Shunsen Yan - (email)

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76

Parabolic singular limit of a wave equation with localized boundary damping

Discrete and Continuous Dynamical Systems  Volume 1, Issue 3, Pages : 303 - 346, 1995

Aníbal Rodríguez-Bernal - (email), Enrique Zuazua - (email)

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