Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source

Author:

Cao Xinru1,Zheng Sining1

Affiliation:

1. School of Mathematical Sciences; Dalian University of Technology; Dalian 116024 China

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference18 articles.

1. A blow-up mechanism for a chemotaxis model;Herrero;Annali della Scuola Normale Superiore di Pisa - Classe di Scienze,1997

2. From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I;Horstmann;Der Jahresbericht der Deutschen Mathematiker-Vereinigung,2003

3. Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains;Nagai;Journal of Inequalities and Applications,2001

4. Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model;Winkler;Journal Differential Equations,2010

5. Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system;Winkler;Journal de Mathématiques Pures et Appliquées,2013

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