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On an exponential attractor for a class of PDEs with degenerate diffusion and chemotaxis

Discrete and Continuous Dynamical Systems  Volume 38, Issue 2, Pages : 651 - 673, 2017

Messoud Efendiev - (email), Anna Zhigun - (email)

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2

The global well-posedness of the kinetic Cucker-Smale flocking model with chemotactic movements

Communications on Pure and Applied Analysis  Volume 17, Issue 2, Pages : 505 - 538, 2017

Chiun-Chuan Chen - (email), Seung-Yeal Ha - (email), Xiongtao Zhang - (email)

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3

Nonlinear flux-limited models for chemotaxis on networks

Networks and Heterogeneous Media  Volume 12, Issue 3, Pages : 381 - 401, 2017

Raul Borsche - (email), Axel Klar - (email), T. N. Ha Pham - (email)

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4

On a distributed control problem for a coupled chemotaxis-fluid model

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 15 - 15, 2017

M. Ángeles Rodríguez-Bellido - (email), Diego A. Rueda-Gómez - (email), Élder J. Villamizar-Roa - (email)

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5

Single-point blow-up for a multi-component reaction-diffusion system

Discrete and Continuous Dynamical Systems  Volume 38, Issue 1, Pages : 209 - 230, 2017

Nejib Mahmoudi - (email)

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Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption

Discrete and Continuous Dynamical Systems  Volume 37, Issue 12, Pages : 6099 - 6121, 2017

Johannes Lankeit - (email), Yulan Wang - (email)

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7

Repulsion effects on boundedness in a quasilinear attraction-repulsion chemotaxis model in higher dimensions

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 45 - 45, 2017

Hai-Yang Jin - (email), Tian Xiang - (email)

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8

Eventual smoothness and asymptotic behaviour of solutions to a chemotaxis system perturbed by a logistic growth

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 47 - 47, 2017

Giuseppe Viglialoro - (email), Thomas E. Woolley - (email)

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9

Boundedness in logistic Keller--Segel models with nonlinear diffusion and sensitivity functions

Discrete and Continuous Dynamical Systems  Volume 37, Issue 9, Pages : 5021 - 5036, 2017

Qi Wang - (email), Jingyue Yang - (email), Feng Yu - (email)

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Stability and bifurcation analysis in a chemotaxis bistable growth system

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 5, Pages : 1165 - 1174, 2017

Shubo Zhao - (email), Ping Liu - (email), Mingchao Jiang - (email)

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11

Boundedness in a two-species chemotaxis parabolic system with two chemicals

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 7, Pages : 2717 - 2729, 2017

Xie Li - (email), Yilong Wang - (email)

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12

Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 7, Pages : 2777 - 2793, 2017

Michael Winkler - (email)

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13

Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 9, Pages : 3369 - 3378, 2017

Xinru Cao - (email)

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14

Global boundedness in higher dimensions for a fully parabolic chemotaxis system with singular sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 10, Pages : 3663 - 3669, 2017

Wei Wang - (email), Yan Li - (email), Hao Yu - (email)

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15

Analysis of a Cahn--Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis

Discrete and Continuous Dynamical Systems  Volume 37, Issue 8, Pages : 4277 - 4308, 2017

Harald Garcke - (email), Kei Fong Lam - (email)

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16

Convergence of global and bounded solutions of a two-species chemotaxis model with a logistic source

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 6, Pages : 2233 - 2260, 2017

Ke Lin - (email), Chunlai Mu - (email)

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17

Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 6, Pages : 2301 - 2319, 2017

Masaaki Mizukami - (email)

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18

Boundary layer analysis from the Keller-Segel system to the aggregation system in one space dimension

Communications on Pure and Applied Analysis  Volume 16, Issue 3, Pages : 1013 - 1036, 2017

Jiahang Che - (email), Li Chen - (email), Simone Göttlich - (email), Anamika Pandey - (email), Jing Wang - (email)

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19

Uniform $L^{\infty}$ boundedness for a degenerate parabolic-parabolic Keller-Segel model

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 307 - 338, 2016

Wenting Cong - (email), Jian-Guo Liu - (email)

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20

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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21

On a linear runs and tumbles equation

Kinetic and Related Models  Volume 10, Issue 3, Pages : 799 - 822, 2016

Stéphane Mischler - (email), Qilong Weng - (email)

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22

Boundedness and large time behavior of an attraction-repulsion chemotaxis model with logistic source

Kinetic and Related Models  Volume 10, Issue 3, Pages : 855 - 878, 2016

Shijie Shi - (email), Zhengrong Liu - (email), Hai-Yang Jin - (email)

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23

Local criteria for blowup in two-dimensional chemotaxis models

Discrete and Continuous Dynamical Systems  Volume 37, Issue 4, Pages : 1841 - 1856, 2016

Piotr Biler - (email), Tomasz Cieślak - (email), Grzegorz Karch - (email), Jacek Zienkiewicz - (email)

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24

Aggregated steady states of a kinetic model for chemotaxis

Kinetic and Related Models  Volume 10, Issue 1, Pages : 313 - 327, 2016

Anne Nouri - (email), Christian Schmeiser - (email)

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Error estimates of the aggregation-diffusion splitting algorithms for the Keller-Segel equations

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 10, Pages : 3463 - 3478, 2016

Hui Huang - (email), Jian-Guo Liu - (email)

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26

Dynamics of spike in a Keller-Segel's minimal chemotaxis model

Discrete and Continuous Dynamical Systems  Volume 37, Issue 2, Pages : 1109 - 1127, 2016

Yajing Zhang - (email), Xinfu Chen - (email), Jianghao Hao - (email), Xin Lai - (email), Cong Qin - (email)

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27

A degenerate $p$-Laplacian Keller-Segel model

Kinetic and Related Models  Volume 9, Issue 4, Pages : 687 - 714, 2016

Wenting Cong - (email), Jian-Guo Liu - (email)

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28

Osmosis for non-electrolyte solvents in permeable periodic porous media

Networks and Heterogeneous Media  Volume 11, Issue 3, Pages : 471 - 499, 2016

Alexei Heintz - (email), Andrey Piatnitski - (email)

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29

Boundedness in a quasilinear 2D parabolic-parabolic attraction-repulsion chemotaxis system

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 6, Pages : 1953 - 1973, 2016

Yilong Wang - (email), Zhaoyin Xiang - (email)

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30

Global dynamics in a fully parabolic chemotaxis system with logistic source

Discrete and Continuous Dynamical Systems  Volume 36, Issue 9, Pages : 5025 - 5046, 2016

Ke Lin - (email), Chunlai Mu - (email)

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31

Morrey spaces norms and criteria for blowup in chemotaxis models

Networks and Heterogeneous Media  Volume 11, Issue 2, Pages : 239 - 250, 2016

Piotr Biler - (email), Grzegorz Karch - (email), Jacek Zienkiewicz - (email)

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32

Global boundedness of solutions to a Keller-Segel system with nonlinear sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 4, Pages : 1317 - 1327, 2016

Hao Yu - (email), Wei Wang - (email), Sining Zheng - (email)

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33

Existence and uniqueness of a solution for a class of parabolic equations with two unbounded nonlinearities

Communications on Pure and Applied Analysis  Volume 15, Issue 1, Pages : 197 - 217, 2015

Dominique Blanchard - (email), Olivier Guibé - (email), Hicham Redwane - (email)

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34

Global boundedness versus finite-time blow-up of solutions to a quasilinear fully parabolic Keller-Segel system of two species

Communications on Pure and Applied Analysis  Volume 15, Issue 1, Pages : 243 - 260, 2015

Miaoqing Tian - (email), Sining Zheng - (email)

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35

Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 81 - 102, 2015

Kentarou Fujie - (email), Takasi Senba - (email)

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36

Lower bounds for blow-up in a parabolic-parabolic Keller-Segel system

DCDS Supplements  Volume 2015, Issue special, Pages : 809 - 816, 2015

Monica Marras - (email), Stella Vernier Piro - (email), Giuseppe Viglialoro - (email)

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37

Existence of solutions to chemotaxis dynamics with logistic source

DCDS Supplements  Volume 2015, Issue special, Pages : 1125 - 1133, 2015

Tomomi Yokota - (email), Noriaki Yoshino - (email)

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38

Boundedness vs.blow-up in a two-species chemotaxis system with two chemicals

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 3165 - 3183, 2015

Youshan Tao - (email), Michael Winkler - (email)

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39

Global classical solutions of a 3D chemotaxis-Stokes system with rotation

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 3235 - 3254, 2015

Yulan Wang - (email), Xinru Cao - (email)

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40

Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane

Communications on Pure and Applied Analysis  Volume 14, Issue 6, Pages : 2117 - 2126, 2015

Piotr Biler - (email), Ignacio Guerra - (email), Grzegorz Karch - (email)

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41

Existence, uniqueness, and stability of bubble solutions of a chemotaxis model

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 805 - 832, 2015

Xin Lai - (email), Xinfu Chen - (email), Mingxin Wang - (email), Cong Qin - (email), Yajing Zhang - (email)

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42

Existence of intermediate weak solution to the equations of multi-dimensional chemotaxis systems

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 861 - 875, 2015

Tong Li - (email), Anthony Suen - (email)

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43

Parabolic elliptic type Keller-Segel system on the whole space case

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 1061 - 1084, 2015

Jinhuan Wang - (email), Li Chen - (email), Liang Hong - (email)

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44

On the homogenization of multicomponent transport

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 8, Pages : 2527 - 2551, 2015

Grégoire Allaire - (email), Harsha Hutridurga - (email)

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45

Particle approximation of the one dimensional Keller-Segel equation, stability and rigidity of the blow-up

Discrete and Continuous Dynamical Systems  Volume 36, Issue 3, Pages : 1175 - 1208, 2015

Vincent Calvez - (email), Thomas O. Gallouët - (email)

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46

Stationary solutions for some shadow system of the Keller-Segel model with logistic growth

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 5, Pages : 1023 - 1034, 2015

Tohru Tsujikawa - (email), Kousuke Kuto - (email), Yasuhito Miyamoto - (email), Hirofumi Izuhara - (email)

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47

Confinement by biased velocity jumps: Aggregation of escherichia coli

Kinetic and Related Models  Volume 8, Issue 4, Pages : 651 - 666, 2015

Vincent Calvez - (email), Gaël Raoul - (email), Christian Schmeiser - (email)

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48

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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49

Stabilization in a chemotaxis model for tumor invasion

Discrete and Continuous Dynamical Systems  Volume 36, Issue 1, Pages : 151 - 169, 2015

Kentarou Fujie - (email), Akio Ito - (email), Michael Winkler - (email), Tomomi Yokota - (email)

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50

Chemotaxis can prevent thresholds on population density

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 5, Pages : 1499 - 1527, 2015

Johannes Lankeit - (email)

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51

Traveling bands for the Keller-Segel model with population growth

Mathematical Biosciences and Engineering  Volume 12, Issue 4, Pages : 717 - 737, 2015

Shangbing Ai - (email), Zhian Wang - (email)

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52

Existence and diffusive limit of a two-species kinetic model of chemotaxis

Kinetic and Related Models  Volume 8, Issue 2, Pages : 359 - 380, 2015

Casimir Emako - (email), Luís Neves de Almeida - (email), Nicolas Vauchelet - (email)

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53

Boundary spikes of a Keller-Segel chemotaxis system with saturated logarithmic sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 4, Pages : 1231 - 1250, 2015

Qi Wang - (email)

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54

Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains

Discrete and Continuous Dynamical Systems  Volume 35, Issue 8, Pages : 3463 - 3482, 2015

Sachiko Ishida - (email)

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55

Global solutions of a Keller--Segel system with saturated logarithmic sensitivity function

Communications on Pure and Applied Analysis  Volume 14, Issue 2, Pages : 383 - 396, 2014

Qi Wang - (email)

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56

Uniqueness of solutions to a mathematical model describing moisture transport in concrete materials

Networks and Heterogeneous Media  Volume 9, Issue 4, Pages : 683 - 707, 2014

Toyohiko Aiki - (email), Kota Kumazaki - (email)

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57

Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces

Discrete and Continuous Dynamical Systems  Volume 35, Issue 5, Pages : 1891 - 1904, 2014

Xinru Cao - (email)

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58

Boundedness and blow-up for a chemotaxis system with generalized volume-filling effect and logistic source

Discrete and Continuous Dynamical Systems  Volume 35, Issue 5, Pages : 2299 - 2323, 2014

Pan Zheng - (email), Chunlai Mu - (email), Xuegang Hu - (email)

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59

On a multiscale model involving cell contractivity and its effects on tumor invasion

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 1, Pages : 189 - 213, 2014

Gülnihal Meral - (email), Christian Stinner - (email), Christina Surulescu - (email)

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60

Higher $L^p$ regularity for vector fields that satisfy divergence and rotation constraints in dual Sobolev spaces, and application to some low-frequency Maxwell equations

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 3, Pages : 475 - 496, 2014

Pierre-Étienne Druet - (email)

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61

Stability of degenerate parabolic Cauchy problems

Communications on Pure and Applied Analysis  Volume 14, Issue 1, Pages : 201 - 216, 2014

Teemu Lukkari - (email), Mikko Parviainen - (email)

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62

Singular parabolic problems with possibly changing sign data

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 7, Pages : 2047 - 2064, 2014

Ida De Bonis - (email), Daniela Giachetti - (email)

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63

On a Keller-Segel system with logarithmic sensitivity and non-diffusive chemical

Discrete and Continuous Dynamical Systems  Volume 34, Issue 12, Pages : 5165 - 5179, 2014

Jaewook Ahn - (email), Kyungkeun Kang - (email)

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64

A nonlinear effective slip interface law for transport phenomena between a fracture flow and a porous medium

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 5, Pages : 1065 - 1077, 2014

Anna Marciniak-Czochra - (email), Andro Mikelić - (email)

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65

On effects of sampling radius for the nonlocal Patlak-Keller-Segel chemotaxis model

Discrete and Continuous Dynamical Systems  Volume 34, Issue 11, Pages : 4911 - 4946, 2014

Tian Xiang - (email)

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66

Development of traveling waves in an interacting two-species chemotaxis model

Discrete and Continuous Dynamical Systems  Volume 34, Issue 7, Pages : 2907 - 2927, 2013

Tai-Chia Lin - (email), Zhi-An Wang - (email)

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67

Ultra-contractivity for Keller-Segel model with diffusion exponent $m>1-2/d$

Kinetic and Related Models  Volume 7, Issue 1, Pages : 9 - 28, 2013

Shen Bian - (email), Jian-Guo Liu - (email), Chen Zou - (email)

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68

Wellposedness and regularity for a degenerate parabolic equation arising in a model of chemotaxis with nonlinear sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 1, Pages : 231 - 256, 2013

Alexandre Montaru - (email)

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69

Existence of sliding motions for nonlinear evolution equations in Banach spaces

DCDS Supplements  Volume 2013, Issue special, Pages : 477 - 487, 2013

Laura Levaggi - (email)

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70

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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71

Trudinger-Moser type inequality for radially symmetric functions in a ring and applications to Keller-Segel in a ring

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 10, Pages : 2505 - 2512, 2013

Tomasz Cieślak - (email)

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72

Global solutions and exponential attractors of a parabolic-parabolic system for chemotaxis with subquadratic degradation

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 10, Pages : 2627 - 2646, 2013

Etsushi Nakaguchi - (email), Koichi Osaki - (email)

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73

Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 10, Pages : 2705 - 2722, 2013

Youshan Tao - (email)

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74

Study of degenerate parabolic system modeling the hydrogen displacement in a nuclear waste repository

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 2, Pages : 191 - 205, 2013

Florian Caro - (email), Bilal Saad - (email), Mazen Saad - (email)

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75

Numerical analysis of a non equilibrium two-component two-compressible flow in porous media

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 2, Pages : 317 - 346, 2013

Bilal Saad - (email), Mazen Saad - (email)

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76

A study on the positive nonconstant steady states of nonlocal chemotaxis systems

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 9, Pages : 2457 - 2485, 2013

Tian Xiang - (email)

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77

Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source

Discrete and Continuous Dynamical Systems  Volume 34, Issue 2, Pages : 789 - 802, 2013

Liangchen Wang - (email), Yuhuan Li - (email), Chunlai Mu - (email)

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78

A mathematical model of carbon dioxide transport in concrete carbonation process

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 1, Pages : 113 - 125, 2013

Kota Kumazaki - (email)

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79

Brownian point vortices and dd-model

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 1, Pages : 161 - 176, 2013

Takashi Suzuki - (email)

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80

Blow-up dynamics of self-attracting diffusive particles driven by competing convexities

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 8, Pages : 2029 - 2050, 2013

Vincent Calvez - (email), Lucilla Corrias - (email)

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81

Analysis of a degenerate biofilm model with a nutrient taxis term

Discrete and Continuous Dynamical Systems  Volume 34, Issue 1, Pages : 99 - 119, 2013

Hermann J. Eberl - (email), Messoud A. Efendiev - (email), Dariusz Wrzosek - (email), Anna Zhigun - (email)

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82

Global dynamics and diffusion limit of a one-dimensional repulsive chemotaxis model

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 3027 - 3046, 2013

Zhi-An Wang - (email), Kun Zhao - (email)

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83

Blowup threshold and collapse mass separation for a drift-diffusion system in space-dimension two

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 2627 - 2644, 2013

Elio E. Espejo - (email), Masaki Kurokiba - (email), Takashi Suzuki - (email)

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84

On the nonexistence of positive solutions to doubly nonlinear equations for Baouendi-Grushin operators

Discrete and Continuous Dynamical Systems  Volume 33, Issue 11/12, Pages : 5167 - 5176, 2013

Ismail Kombe - (email)

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A nonlinear partial differential equation for the volume preserving mean curvature flow

Networks and Heterogeneous Media  Volume 8, Issue 1, Pages : 9 - 22, 2013

Dimitra Antonopoulou - (email), Georgia Karali - (email)

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Modeling bacterial attachment to surfaces as an early stage of biofilm development

Mathematical Biosciences and Engineering  Volume 10, Issue 3, Pages : 821 - 842, 2013

Fadoua El Moustaid - (email), Amina Eladdadi - (email), Lafras Uys - (email)

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87

The existence of weak solutions to immiscible compressible two-phase flow in porous media: The case of fields with different rock-types

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 5, Pages : 1217 - 1251, 2013

Brahim Amaziane - (email), Leonid Pankratov - (email), Andrey Piatnitski - (email)

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88

Analysis and numerical approximations of equations of nonlinear poroelasticity

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 5, Pages : 1253 - 1273, 2013

Yanzhao Cao - (email), Song Chen - (email), A. J. Meir - (email)

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89

Modeling chemotaxis from $L^2$--closure moments in kinetic theory of active particles

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 4, Pages : 847 - 863, 2013

Nicola Bellomo - (email), Abdelghani Bellouquid - (email), Juanjo Nieto - (email), Juan Soler - (email)

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90

Bounded and unbounded oscillating solutions to a parabolic-elliptic system in two dimensional space

Communications on Pure and Applied Analysis  Volume 12, Issue 5, Pages : 1861 - 1880, 2013

Yūki Naito - (email), Takasi Senba - (email)

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A therapy inactivating the tumor angiogenic factors

Mathematical Biosciences and Engineering  Volume 10, Issue 1, Pages : 185 - 198, 2012

Cristian Morales-Rodrigo - (email)

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92

A link between microscopic and macroscopic models of self-organized aggregation

Networks and Heterogeneous Media  Volume 7, Issue 4, Pages : 705 - 740, 2012

Tadahisa Funaki - (email), Hirofumi Izuhara - (email), Masayasu Mimura - (email), Chiyori Urabe - (email)

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93

Mathematics of traveling waves in chemotaxis --Review paper--

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 3, Pages : 601 - 641, 2012

Zhi-An Wang - (email)

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94

Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 3, Pages : 821 - 845, 2012

Youshan Tao - (email), Lihe Wang - (email), Zhi-An Wang - (email)

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95

Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions

Communications on Pure and Applied Analysis  Volume 12, Issue 4, Pages : 1527 - 1546, 2012

Stanislav Antontsev - (email), Michel Chipot - (email), Sergey Shmarev - (email)

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96

Blowup in higher dimensional two species chemotactic systems

Communications on Pure and Applied Analysis  Volume 12, Issue 1, Pages : 89 - 98, 2012

Piotr Biler - (email), Elio E. Espejo - (email), Ignacio Guerra - (email)

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97

Second order corrector in the homogenization of a conductive-radiative heat transfer problem

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 1, Pages : 1 - 36, 2012

Grégoire Allaire - (email), Zakaria Habibi - (email)

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98

Convergence rates of zero diffusion limit on large amplitude solution to a conservation laws arising in chemotaxis

Kinetic and Related Models  Volume 5, Issue 3, Pages : 563 - 581, 2012

Hongyun Peng - (email), Lizhi Ruan - (email), Changjiang Zhu - (email)

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99

Wavefront of an angiogenesis model

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 8, Pages : 2849 - 2860, 2012

Zhi-An Wang - (email)

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100

Anti-angiogenic therapy based on the binding to receptors

Discrete and Continuous Dynamical Systems  Volume 32, Issue 11, Pages : 3871 - 3894, 2012

Manuel Delgado - (email), Cristian Morales-Rodrigo - (email), Antonio Suárez - (email)

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101

Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion

Discrete and Continuous Dynamical Systems  Volume 32, Issue 5, Pages : 1901 - 1914, 2012

Youshan Tao - (email), Michael Winkler - (email)

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102

On a chemotaxis model with saturated chemotactic flux

Kinetic and Related Models  Volume 5, Issue 1, Pages : 51 - 95, 2012

Alina Chertock - (email), Alexander Kurganov - (email), Xuefeng Wang - (email), Yaping Wu - (email)

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103

On the critical exponents for porous medium equation with a localized reaction in high dimensions

Communications on Pure and Applied Analysis  Volume 11, Issue 2, Pages : 649 - 658, 2011

Zhilei Liang - (email)

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104

Oscillating solutions to a parabolic-elliptic system related to a chemotaxis model

DCDS Supplements  Volume 2011, Issue Special, Pages : 1111 - 1118, 2011

Yūki Naito - (email), Takasi Senba - (email)

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105

Finite mass self-similar blowing-up solutions of a chemotaxis system with non-linear diffusion

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 47 - 60, 2011

Adrien Blanchet - (email), Philippe Laurençot - (email)

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106

A congestion model for cell migration

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 243 - 260, 2011

Julien Dambrine - (email), Nicolas Meunier - (email), Bertrand Maury - (email), Aude Roudneff-Chupin - (email)

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107

Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 339 - 364, 2011

Norikazu Saito - (email)

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108

Existence of multiple spike stationary patterns in a chemotaxis model with weak saturation

Discrete and Continuous Dynamical Systems  Volume 31, Issue 1, Pages : 139 - 164, 2011

Kazuhiro Kurata - (email), Kotaro Morimoto - (email)

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109

Well-posedness for two types of generalized Keller-Segel system of chemotaxis in critical Besov spaces

Communications on Pure and Applied Analysis  Volume 10, Issue 1, Pages : 287 - 308, 2010

Zhichun Zhai - (email)

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110

Kolmogorov equations perturbed by an inverse-square potential

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 3, Pages : 623 - 630, 2010

Gisèle Ruiz Goldstein - (email), Jerome A. Goldstein - (email), Abdelaziz Rhandi - (email)

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111

Numerical simulation of a kinetic model for chemotaxis

Kinetic and Related Models  Volume 3, Issue 3, Pages : 501 - 528, 2010

Nicolas Vauchelet - (email)

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112

Homogenization of the Neumann problem for a quasilinear elliptic equation in a perforated domain

Networks and Heterogeneous Media  Volume 5, Issue 2, Pages : 361 - 384, 2010

Mamadou Sango - (email)

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113

Nonlinear parabolic equations with a lower order term and $L^1$ data

Communications on Pure and Applied Analysis  Volume 9, Issue 4, Pages : 929 - 942, 2010

Rosaria Di Nardo - (email)

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114

A pressure model of immune response to mycobacterium tuberculosis infection in several space dimensions

Mathematical Biosciences and Engineering  Volume 7, Issue 2, Pages : 277 - 300, 2010

Fabrizio Clarelli - (email), Roberto Natalini - (email)

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115

Singular convergence of nonlinear hyperbolic chemotaxis systems to Keller-Segel type models

Discrete and Continuous Dynamical Systems - Series B  Volume 13, Issue 1, Pages : 79 - 100, 2009

Marco Di Francesco - (email), Donatella Donatelli - (email)

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116

Homogenization of a model of displacement with unbounded viscosity

Networks and Heterogeneous Media  Volume 4, Issue 4, Pages : 649 - 666, 2009

Catherine Choquet - (email), Ali Sili - (email)

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117

Stability analysis using an energy estimate approach of a reaction-diffusion model of atherogenesis

DCDS Supplements  Volume 2009, Issue Special, Pages : 630 - 639, 2009

L.R. Ritter - (email), Akif Ibragimov - (email), Jay R. Walton - (email), Catherine J. McNeal - (email)

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118

The two-dimensional Keller-Segel model after blow-up

Discrete and Continuous Dynamical Systems  Volume 25, Issue 1, Pages : 109 - 121, 2009

Jean Dolbeault - (email), Christian Schmeiser - (email)

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119

Particle, kinetic and fluid models for phototaxis

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 1, Pages : 77 - 108, 2009

Seung-Yeal Ha - (email), Doron Levy - (email)

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120

Long-time behaviour of doubly nonlinear parabolic equations

Communications on Pure and Applied Analysis  Volume 8, Issue 4, Pages : 1373 - 1400, 2009

A. Kh. Khanmamedov - (email)

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121

Global existence for nonlinear parabolic equations with a damping term

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 923 - 953, 2009

Daniela Giachetti - (email), Maria Michaela Porzio - (email)

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122

Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables

Kinetic and Related Models  Volume 1, Issue 1, Pages : 29 - 48, 2008

Nikolaos Bournaveas - (email), Vincent Calvez - (email)

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123

Existence of a capacity solution to a coupled nonlinear parabolic--elliptic system

Communications on Pure and Applied Analysis  Volume 6, Issue 1, Pages : 23 - 42, 2007

Francisco Ortegón Gallego - (email), María Teresa González Montesinos - (email)

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124

A nonlinear degenerate system modelling water-gas flows in porous media

Discrete and Continuous Dynamical Systems - Series B  Volume 9, Issue 2, Pages : 281 - 308, 2007

Cédric Galusinski - (email), Mazen Saad - (email)

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125

Modeling group dynamics of phototaxis: From particle systems to PDEs

Discrete and Continuous Dynamical Systems - Series B  Volume 9, Issue 1, Pages : 103 - 128, 2007

Doron Levy - (email), Tiago Requeijo - (email)

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126

Modeling the motion of a cell population in the extracellular matrix

DCDS Supplements  Volume 2007, Issue Special, Pages : 250 - 259, 2007

A. Chauviere - (email), L. Preziosi - (email), T. Hillen - (email)

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127

The thermistor problem with degenerate thermal conductivity and metallic conduction

DCDS Supplements  Volume 2007, Issue Special, Pages : 446 - 455, 2007

María Teresa González Montesinos - (email), Francisco Ortegón Gallego - (email)

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128

Modelling of interfaces in unsaturated porous media

DCDS Supplements  Volume 2007, Issue Special, Pages : 794 - 803, 2007

Mario Ohlberger - (email), Ben Schweizer - (email)

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129

The evolution thermistor problem under the Wiedemann-Franz law with metallic conduction

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 4, Pages : 901 - 923, 2007

María Teresa González Montesinos - (email), Francisco Ortegón Gallego - (email)

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130

An optimal adaptive time-stepping scheme for solving reaction-diffusion-chemotaxis systems

Mathematical Biosciences and Engineering  Volume 4, Issue 2, Pages : 187 - 203, 2007

Chichia Chiu - (email), Jui-Ling Yu - (email)

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131

Global existence and uniqueness of solutions for multidimensional weakly parabolic systems arising in chemistry and biology

Communications on Pure and Applied Analysis  Volume 6, Issue 1, Pages : 287 - 309, 2006

F. R. Guarguaglini - (email), R. Natalini - (email)

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132

Global existence for chemotaxis with finite sampling radius

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 1, Pages : 125 - 144, 2006

T. Hillen - (email), K. Painter - (email), Christian Schmeiser - (email)

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133

Global existence results for complex hyperbolic models of bacterial chemotaxis

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 6, Pages : 1239 - 1260, 2006

Radek Erban - (email), Hyung Ju Hwang - (email)

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134

Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity

Networks and Heterogeneous Media  Volume 1, Issue 3, Pages : 399 - 439, 2006

M.A.J Chaplain - (email), G. Lolas - (email)

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135

A Metapopulation Model Of Granuloma Formation In The Lung During Infection With Mycobacterium Tuberculosis

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 535 - 560, 2005

Suman Ganguli - (email), David Gammack - (email), Denise E. Kirschner - (email)

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136

On certain nonlinear parabolic equations with singular diffusion and data in $L^1$

Communications on Pure and Applied Analysis  Volume 4, Issue 3, Pages : 589 - 612, 2005

C. García Vázquez - (email), Francisco Ortegón Gallego - (email)

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137

Drift-diffusion limits of kinetic models for chemotaxis: A generalization

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 2, Pages : 319 - 334, 2005

H.J. Hwang - (email), K. Kang - (email), A. Stevens - (email)

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138

To the uniqueness problem for nonlinear parabolic equations

Discrete and Continuous Dynamical Systems  Volume 10, Issue 1/2, Pages : 315 - 336, 2003

H. Gajewski - (email), I. V. Skrypnik - (email)

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139

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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140

Exponential attractors for a chemotaxis growth system on domains of arbitrary dimension

DCDS Supplements  Volume 2003, Issue Special, Pages : 536 - 543, 2003

Dung Le - (email)

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141

Numerical simulation of capillary formation during the onset of tumor angiogenesis

DCDS Supplements  Volume 2003, Issue Special, Pages : 817 - 826, 2003

Michael W. Smiley - (email), Howard A. Levine - (email), Marit Nilsen Hamilton - (email)

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142

Large time decay estimates of solutions of nonlinear parabolic equations

Discrete and Continuous Dynamical Systems  Volume 8, Issue 1, Pages : 69 - 114, 2001

Huijiang Zhao - (email)

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143

A global existence theorem for two coupled semilinear diffusion equations from climate modeling

Discrete and Continuous Dynamical Systems  Volume 3, Issue 4, Pages : 541 - 564, 1997

Olaf Hansen - (email)

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144

Large time decay estimates of solutions of nonlinear parabolic equations

Discrete and Continuous Dynamical Systems  Volume 3, Issue 4, Pages : 69 - 114,

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