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Analysis of a free boundary problem for tumor growth with Gibbs-Thomson relation and time delays

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 20 - 20, 2017

Shihe Xu - (email), Meng Bai - (email), Fangwei Zhang - (email)

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2

Spreading speeds and traveling waves of a parabolic-elliptic chemotaxis system with logistic source on $\mathbb{R}^N$

Discrete and Continuous Dynamical Systems  Volume 37, Issue 12, Pages : 6189 - 6225, 2017

Rachidi B. Salako - (email), Wenxian Shen - (email)

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3

Monotone traveling waves in a general discrete model for populations

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 8, Pages : 3221 - 3234, 2017

Thuc Manh Le - (email), Nguyen Van Minh - (email)

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4

Classical solvability of the multidimensional free boundary problem for the thin film equation with quadratic mobility in the case of partial wetting

Discrete and Continuous Dynamical Systems  Volume 37, Issue 7, Pages : 3625 - 3699, 2017

Sergey Degtyarev - (email)

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5

A prey-predator model with a free boundary and sign-changing coefficient in time-periodic environment

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 9, Pages : 3295 - 3316, 2017

Meng Zhao - (email), Wan-Tong Li - (email), Jia-Feng Cao - (email)

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6

Expanding speed of the habitat for a species in an advective environment

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 483 - 490, 2016

Junfan Lu - (email), Hong Gu - (email), Bendong Lou - (email)

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7

Global classical solutions to the free boundary problem of planar full magnetohydrodynamic equations with large initial data

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 537 - 567, 2016

Yaobin Ou - (email), Pan Shi - (email)

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8

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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9

An optimal consumption-investment model with constraint on consumption

Mathematical Control and Related Fields  Volume 6, Issue 3, Pages : 517 - 534, 2016

Zuo Quan Xu - (email), Fahuai Yi - (email)

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10

Threshold asymptotic behaviors for a delayed nonlocal reaction-diffusion model of mistletoes and birds in a 2D strip

Communications on Pure and Applied Analysis  Volume 15, Issue 4, Pages : 1471 - 1495, 2016

Huimin Liang - (email), Peixuan Weng - (email), Yanling Tian - (email)

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11

Free boundary problem of Barenblatt equation in stochastic control

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 5, Pages : 1421 - 1434, 2016

Xiaoshan Chen - (email), Fahuai Yi - (email)

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12

On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface

Discrete and Continuous Dynamical Systems  Volume 36, Issue 7, Pages : 3741 - 3774, 2016

Takayuki Kubo - (email), Yoshihiro Shibata - (email), Kohei Soga - (email)

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13

Transonic flows with shocks past curved wedges for the full Euler equations

Discrete and Continuous Dynamical Systems  Volume 36, Issue 8, Pages : 4179 - 4211, 2016

Gui-Qiang Chen - (email), Jun Chen - (email), Mikhail Feldman - (email)

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14

Non-sharp travelling waves for a dual porous medium equation

Communications on Pure and Applied Analysis  Volume 15, Issue 2, Pages : 623 - 636, 2016

Jing Li - (email), Yifu Wang - (email), Jingxue Yin - (email)

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15

Analysis of a free boundary problem for avascular tumor growth with a periodic supply of nutrients

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 3, Pages : 997 - 1008, 2016

Shihe Xu - (email), Yinhui Chen - (email), Meng Bai - (email)

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16

A nonlinear generalization of the Camassa-Holm equation with peakon solutions

DCDS Supplements  Volume 2015, Issue special, Pages : 29 - 37, 2015

Stephen C. Anco - (email), Elena Recio - (email), María L. Gandarias - (email), María S. Bruzón - (email)

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17

Parabolic Monge-Ampere equations giving rise to a free boundary: The worn stone model

DCDS Supplements  Volume 2015, Issue special, Pages : 369 - 378, 2015

Gregorio Díaz - (email), Jesús Ildefonso Díaz - (email)

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18

Monostable waves and spreading speed for a reaction-diffusion model with seasonal succession

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 2, Pages : 591 - 606, 2015

Manjun Ma - (email), Xiao-Qiang Zhao - (email)

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19

A free boundary problem for a class of parabolic type chemotaxis model

Kinetic and Related Models  Volume 8, Issue 4, Pages : 667 - 684, 2015

Hua Chen - (email), Wenbin Lv - (email), Shaohua Wu - (email)

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20

Spreading speeds and traveling wave solutions in cooperative integral-differential systems

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 6, Pages : 1663 - 1684, 2015

Changbing Hu - (email), Yang Kuang - (email), Bingtuan Li - (email), Hao Liu - (email)

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21

Asymptotic behavior of solutions for competitive models with a free boundary

Discrete and Continuous Dynamical Systems  Volume 35, Issue 7, Pages : 3253 - 3276, 2015

Jian Yang - (email)

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22

A one dimensional free boundary problem for adsorption phenomena

Networks and Heterogeneous Media  Volume 9, Issue 4, Pages : 655 - 668, 2014

Naoki Sato - (email), Toyohiko Aiki - (email), Yusuke Murase - (email), Ken Shirakawa - (email)

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23

On the free boundary associated with the stationary Monge--Ampère operator on the set of non strictly convex functions

Discrete and Continuous Dynamical Systems  Volume 35, Issue 4, Pages : 1447 - 1468, 2014

Gregorio Díaz - (email), Jesús Ildefonso Díaz - (email)

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24

Spreading speeds and traveling wave solutions in a competitive reaction-diffusion model for species persistence in a stream

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 10, Pages : 3267 - 3281, 2014

Bingtuan Li - (email), William F. Fagan - (email), Garrett Otto - (email), Chunwei Wang - (email)

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25

Spatial dynamics for a model of epidermal wound healing

Mathematical Biosciences and Engineering  Volume 11, Issue 5, Pages : 1215 - 1227, 2014

Haiyan Wang - (email), Shiliang Wu - (email)

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26

Asymptotic pattern of a migratory and nonmonotone population model

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 4, Pages : 1171 - 1195, 2014

Chufen Wu - (email), Dongmei Xiao - (email), Xiao-Qiang Zhao - (email)

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27

Cops on the dots in a mathematical model of urban crime and police response

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 5, Pages : 1479 - 1506, 2014

Joseph R. Zipkin - (email), Martin B. Short - (email), Andrea L. Bertozzi - (email)

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28

Traveling wave solutions of competitive models with free boundaries

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 3, Pages : 817 - 826, 2014

Jian Yang - (email), Bendong Lou - (email)

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29

Traveling wave solutions with mixed dispersal for spatially periodic Fisher-KPP equations

DCDS Supplements  Volume 2013, Issue special, Pages : 815 - 824, 2013

Aijun Zhang - (email)

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30

A free boundary problem arising from the process of Czochralski crystal growth

DCDS Supplements  Volume 2001, Issue Special, Pages : 380 - 385, 2013

Weiqing Xie - (email)

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31

On an optimal control problem in laser cutting with mixed finite-/infinite-dimensional constraints

Journal of Industrial and Management Optimization  Volume 10, Issue 2, Pages : 503 - 519, 2013

Georg Vossen - (email), Torsten Hermanns - (email)

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32

Spreading speed and traveling waves for a two-species weak competition system with free boundary

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 9, Pages : 2441 - 2455, 2013

Chang-Hong Wu - (email)

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33

Local uniqueness of steady spherical transonic shock-fronts for the three--dimensional full Euler equations

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 2515 - 2542, 2013

Gui-Qiang G. Chen - (email), Hairong Yuan - (email)

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34

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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35

A partial differential equation model of metastasized prostatic cancer

Mathematical Biosciences and Engineering  Volume 10, Issue 3, Pages : 591 - 608, 2013

Avner Friedman - (email), Harsh Vardhan Jain - (email)

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36

Weak solutions of a gas-liquid drift-flux model with general slip law for wellbore operations

Discrete and Continuous Dynamical Systems  Volume 33, Issue 10, Pages : 4497 - 4530, 2013

Steinar Evje - (email), Huanyao Wen - (email)

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37

On stability of a capillary liquid down an inclined plane

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 5, Pages : 1343 - 1353, 2013

Mariarosaria Padula - (email)

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38

Stability of travelling waves of a reaction-diffusion system for the acidic nitrate-ferroin reaction

Discrete and Continuous Dynamical Systems  Volume 33, Issue 9, Pages : 4041 - 4069, 2013

Sheng-Chen Fu - (email), Je-Chiang Tsai - (email)

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39

Spreading speed revisited: Analysis of a free boundary model

Networks and Heterogeneous Media  Volume 7, Issue 4, Pages : 583 - 603, 2012

Gary Bunting - (email), Yihong Du - (email), Krzysztof Krakowski - (email)

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40

A class of singular first order differential equations with applications in reaction-diffusion

Discrete and Continuous Dynamical Systems  Volume 33, Issue 1, Pages : 173 - 191, 2012

Ricardo Enguiça - (email), Andrea Gavioli - (email), Luís Sanchez - (email)

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41

Exact travelling wave solutions of three-species competition--diffusion systems

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 8, Pages : 2653 - 2669, 2012

Chiun-Chuan Chen - (email), Li-Chang Hung - (email), Masayasu Mimura - (email), Daishin Ueyama - (email)

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42

Regularity of the free boundary for the American put option

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 6, Pages : 1751 - 1759, 2012

Xinfu Chen - (email), Huibin Cheng - (email)

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43

On sufficient conditions for a linearly determinate spreading speed

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 6, Pages : 2267 - 2280, 2012

Hans Weinberger - (email)

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44

Existence and estimate of the location of the free-boundary for a non local inverse elliptic-parabolic problem arising in nuclear fusion

DCDS Supplements  Volume 2011, Issue Special, Pages : 1176 - 1185, 2011

J. F. Padial - (email)

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45

The singular limit of a haptotaxis model with bistable growth

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 209 - 228, 2011

Elisabeth Logak - (email), Chao Wang - (email)

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46

On a general class of free boundary problems for European-style installment options with continuous payment plan

Communications on Pure and Applied Analysis  Volume 10, Issue 4, Pages : 1205 - 1224, 2011

Pierangelo Ciurlia - (email)

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47

A mathematical model for chronic wounds

Mathematical Biosciences and Engineering  Volume 8, Issue 2, Pages : 253 - 261, 2011

Avner Friedman - (email), Chuan Xue - (email)

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48

Travelling waves of a reaction-diffusion model for the acidic nitrate-ferroin reaction

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 1, Pages : 189 - 196, 2011

Sheng-Chen Fu - (email)

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49

On the existence of a weak solution to a free boundary problem for a model of a shape memory alloy spring

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 1, Pages : 1 - 13, 2011

Toyohiko Aiki - (email)

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50

On uniqueness of a weak solution of one-dimensional concrete carbonation problem

Discrete and Continuous Dynamical Systems  Volume 29, Issue 4, Pages : 1345 - 1365, 2010

Toyohiko Aiki - (email), Adrian Muntean - (email)

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51

Travelling waves of forced discrete nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 5, Pages : 1129 - 1145, 2010

Michal Fečkan - (email), Vassilis M. Rothos - (email)

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52

The position of the joint of shape memory alloy and bias springs

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 2, Pages : 239 - 246, 2010

Toyohiko Aiki - (email)

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53

Large time behavior of solutions to a moving-interface problem modeling concrete carbonation

Communications on Pure and Applied Analysis  Volume 9, Issue 5, Pages : 1117 - 1129, 2010

Toyohiko Aiki - (email), Adrian Muntean - (email)

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54

The Stefan problem with temperature-dependent thermal conductivity and a convective term with a convective condition at the fixed face

Communications on Pure and Applied Analysis  Volume 9, Issue 5, Pages : 1209 - 1220, 2010

Adriana C. Briozzo - (email), María F. Natale - (email), Domingo A. Tarzia - (email)

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55

The surface diffusion flow on rough phase spaces

Discrete and Continuous Dynamical Systems  Volume 26, Issue 2, Pages : 431 - 453, 2009

Joachim Escher - (email), Piotr B. Mucha - (email)

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56

Boundary dynamics of a two-dimensional diffusive free boundary problem

Discrete and Continuous Dynamical Systems  Volume 26, Issue 2, Pages : 713 - 736, 2009

Micah Webster - (email), Patrick Guidotti - (email)

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57

Asymptotic behavior of solutions for parabolic differential equations with invariance and applications to a free boundary problem modeling tumor growth

Discrete and Continuous Dynamical Systems  Volume 26, Issue 2, Pages : 737 - 765, 2009

Junde Wu - (email), Shangbin Cui - (email)

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58

A simplified mathematical model of solid tumor regrowth with therapies

DCDS Supplements  Volume 2009, Issue Special, Pages : 771 - 779, 2009

Jianjun Paul Tian - (email), Kendall Stone - (email), Thomas John Wallin - (email)

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59

Global weak solutions for a viscous liquid-gas model with singular pressure law

Communications on Pure and Applied Analysis  Volume 8, Issue 6, Pages : 1867 - 1894, 2009

Steinar Evje - (email), Kenneth Hvistendahl Karlsen - (email)

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60

Spreading speed and traveling wavefront of an age-structured population diffusing in a 2D lattice strip

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 4, Pages : 883 - 904, 2009

Peixuan Weng - (email)

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61

Asymptotic behavior of solutions of a free boundary problem modelling the growth of tumors with Stokes equations

Discrete and Continuous Dynamical Systems  Volume 24, Issue 2, Pages : 625 - 651, 2009

Junde Wu - (email), Shangbin Cui - (email)

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62

Spreading speeds for a partially cooperative 2-species reaction-diffusion model

Discrete and Continuous Dynamical Systems  Volume 23, Issue 3, Pages : 1087 - 1098, 2008

Hans F. Weinberger - (email), Kohkichi Kawasaki - (email), Nanako Shigesada - (email)

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63

Spatial spread of sexually transmitted diseases within susceptible populations at demographic steady state

Mathematical Biosciences and Engineering  Volume 5, Issue 4, Pages : 713 - 727, 2008

Carlos Castillo-Chavez - (email), Bingtuan Li - (email)

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64

Weak shock solution in supersonic flow past a wedge

Discrete and Continuous Dynamical Systems  Volume 23, Issue 1/2, Pages : 115 - 132, 2008

Shuxing Chen - (email), Jianzhong Min - (email), Yongqian Zhang - (email)

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65

Quasi-static evolution of polyhedral crystals

Discrete and Continuous Dynamical Systems - Series B  Volume 9, Issue 2, Pages : 309 - 320, 2007

Przemysław Górka - (email)

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66

A free boundary problem for an elastic material

DCDS Supplements  Volume 2007, Issue Special, Pages : 10 - 17, 2007

Toyohiko Aiki - (email)

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67

On a free-boundary problem modeling the action of a limiter on a plasma

DCDS Supplements  Volume 2007, Issue Special, Pages : 313 - 322, 2007

J. I. Díaz - (email), J. F. Padial - (email)

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68

Asymptotic speed of spread and traveling waves for a nonlocal epidemic model

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 4, Pages : 1043 - 1056, 2005

Dashun Xu - (email), Xiao-Qiang Zhao - (email)

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69

Valuing investment project in competitive environment

DCDS Supplements  Volume 2003, Issue Special, Pages : 945 - 950, 2003

Ming Yang - (email), Chulin Li - (email)

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70

Existence of travelling wave solutions in a combustion-radiation model

Discrete and Continuous Dynamical Systems - Series B  Volume 1, Issue 2, Pages : 193 - 208, 2001

Claude-Michael Brauner - (email), Josephus Hulshof - (email), J.-F. Ripoll - (email)

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