Global existence and convergence to steady states in a chemorepulsion system

Tomasz Cieślak; Philippe Laurençot; Cristian Morales-Rodrigo

Banach Center Publications (2008)

  • Volume: 81, Issue: 1, page 105-117
  • ISSN: 0137-6934

Abstract

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In this paper we consider a model of chemorepulsion. We prove global existence and uniqueness of smooth classical solutions in space dimension n = 2. For n = 3,4 we prove the global existence of weak solutions. The convergence to steady states is shown in all cases.

How to cite

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Tomasz Cieślak, Philippe Laurençot, and Cristian Morales-Rodrigo. "Global existence and convergence to steady states in a chemorepulsion system." Banach Center Publications 81.1 (2008): 105-117. <http://eudml.org/doc/282452>.

@article{TomaszCieślak2008,
abstract = {In this paper we consider a model of chemorepulsion. We prove global existence and uniqueness of smooth classical solutions in space dimension n = 2. For n = 3,4 we prove the global existence of weak solutions. The convergence to steady states is shown in all cases.},
author = {Tomasz Cieślak, Philippe Laurençot, Cristian Morales-Rodrigo},
journal = {Banach Center Publications},
keywords = {quasilinear reaction-diffusion systems; compactness method; smooth classical solutions; weak solutions},
language = {eng},
number = {1},
pages = {105-117},
title = {Global existence and convergence to steady states in a chemorepulsion system},
url = {http://eudml.org/doc/282452},
volume = {81},
year = {2008},
}

TY - JOUR
AU - Tomasz Cieślak
AU - Philippe Laurençot
AU - Cristian Morales-Rodrigo
TI - Global existence and convergence to steady states in a chemorepulsion system
JO - Banach Center Publications
PY - 2008
VL - 81
IS - 1
SP - 105
EP - 117
AB - In this paper we consider a model of chemorepulsion. We prove global existence and uniqueness of smooth classical solutions in space dimension n = 2. For n = 3,4 we prove the global existence of weak solutions. The convergence to steady states is shown in all cases.
LA - eng
KW - quasilinear reaction-diffusion systems; compactness method; smooth classical solutions; weak solutions
UR - http://eudml.org/doc/282452
ER -

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