Global solutions for a hyperbolic–parabolic system of chemotaxis

Rafael Granero-Belinchón

doi:10.1016/j.jmaa.2016.12.050

Global solutions for a hyperbolic–parabolic system of chemotaxis

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.12.050 ◽

2017 ◽

Vol 449 (1) ◽

pp. 872-883 ◽

Cited By ~ 7

Author(s):

Rafael Granero-Belinchón

Keyword(s):

Parabolic System ◽

Global Solutions

Download Full-text

Different asymptotic behavior of global solutions for a parabolic system with nonlinear gradient terms

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.10.014 ◽

2012 ◽

Vol 387 (2) ◽

pp. 970-992

Author(s):

Abeer Al Elaiw ◽

Slim Tayachi

Keyword(s):

Asymptotic Behavior ◽

Parabolic System ◽

Global Solutions

Download Full-text

A Note on the Global Solutions of a Degenerate Parabolic System

Tokyo Journal of Mathematics ◽

10.3836/tjm/1270042399 ◽

1997 ◽

Vol 20 (1) ◽

pp. 63-66 ◽

Cited By ~ 5

Author(s):

Qing HUANG ◽

Kiyoshi MOCHIZUKI

Keyword(s):

Parabolic System ◽

Global Solutions ◽

Degenerate Parabolic System ◽

Degenerate Parabolic

Download Full-text

Asymptotic estimates to non-global solutions of a multi-coupled parabolic system

Acta Mathematica Sinica English Series ◽

10.1007/s10114-008-6559-8 ◽

2008 ◽

Vol 24 (10) ◽

pp. 1713-1726 ◽

Cited By ~ 2

Author(s):

Rui Hong Ji ◽

Si Ning Zheng

Keyword(s):

Parabolic System ◽

Global Solutions ◽

Asymptotic Estimates

Download Full-text

Global solutions and blow-up problems for a nonlinear degenerate parabolic system coupled via nonlocal sources

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.11.023 ◽

2007 ◽

Vol 333 (2) ◽

pp. 984-1007 ◽

Cited By ~ 9

Author(s):

Haihua Lu ◽

MingXin Wang

Keyword(s):

Parabolic System ◽

Blow Up ◽

Global Solutions ◽

Degenerate Parabolic System ◽

Nonlocal Sources ◽

Degenerate Parabolic ◽

Nonlinear Degenerate ◽

Nonlinear Degenerate Parabolic System

Download Full-text

GLOBAL SOLUTIONS FOR A SEMILINEAR PARABOLIC SYSTEM

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30621-0 ◽

1983 ◽

Vol 3 (4) ◽

pp. 397-414 ◽

Cited By ~ 29

Author(s):

Xiaxi Ding ◽

Jinghua Wang

Keyword(s):

Parabolic System ◽

Global Solutions ◽

Semilinear Parabolic System ◽

Semilinear Parabolic

Download Full-text

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

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2013.18.2627 ◽

2013 ◽

Vol 18 (10) ◽

pp. 2627-2646 ◽

Cited By ~ 22

Author(s):

Etsushi Nakaguchi ◽

◽

Koichi Osaki ◽

Keyword(s):

Parabolic System ◽

Global Solutions ◽

Exponential Attractors

Download Full-text

Uniform boundedness and convergence of global solutions to a strongly-coupled parabolic system with three competitive species

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.06.061 ◽

2013 ◽

Vol 221 ◽

pp. 720-726

Author(s):

Yanhong Zhang

Keyword(s):

Parabolic System ◽

Uniform Boundedness ◽

Global Solutions ◽

Strongly Coupled ◽

Competitive Species

Download Full-text

Existence of global solutions for a parabolic system related to the nonlinear Stokes problem

Journal of Mathematical Sciences ◽

10.1007/s10958-008-9088-1 ◽

2008 ◽

Vol 152 (5) ◽

pp. 769-779 ◽

Cited By ~ 1

Author(s):

M. Fuchs ◽

G. A. Seregin

Keyword(s):

Parabolic System ◽

Stokes Problem ◽

Global Solutions

Download Full-text

Global solutions for a chemotaxis hyperbolic-parabolic system on networks with nonhomogeneous boundary conditions

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020049 ◽

2020 ◽

Vol 19 (2) ◽

pp. 1057-1087

Author(s):

Francesca R. Guarguaglini ◽

Keyword(s):

Boundary Conditions ◽

Parabolic System ◽

Global Solutions ◽

Nonhomogeneous Boundary ◽

Nonhomogeneous Boundary Conditions

Download Full-text

Existence and Non-Existence of Global Solutions for a Higher-Order Semilinear Parabolic System

Indiana University Mathematics Journal ◽

10.1512/iumj.2006.55.2763 ◽

2006 ◽

Vol 55 (3) ◽

pp. 1113-1134 ◽

Cited By ~ 8

Author(s):

Peter Pang ◽

Fuqin Sun ◽

Mingxin Wang

Keyword(s):

Parabolic System ◽

Global Solutions ◽

Higher Order ◽

Semilinear Parabolic System ◽

Semilinear Parabolic

Download Full-text