Global existence and convergence to steady states in a chemorepulsion system

• Autorzy: Tomasz Cieślak , Philippe Laurençot , Cristian Morales-Rodrigo
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35K57: Reaction-diffusion equations
• 35K60: Nonlinear initial value problems for linear parabolic equations
• 92C17: Cell movement (chemotaxis, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 81
• Numer: 1
• Strony: 105-117

Daty

wydano

2008

Twórcy

autor

Tomasz Cieślak

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O. Box 21, 00-956 Warszawa, Poland

autor

Philippe Laurençot

• Institut de Mathématiques de Toulouse, CNRS UMR 5219, Université Paul Sabatier (Toulouse III), 118 route de Narbonne, F-31062 Toulouse Cedex 9, France

autor

Cristian Morales-Rodrigo

• Institute of Applied Mathematics and Mechanics, Faculty of Informatics, Mathematics and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc81-0-7