Asymptotic decay for the solutions of the parabolic–parabolic Keller–Segel chemotaxis system in critical spaces

Author:

Corrias Lucilla,Perthame Benoǐt

Publisher

Elsevier BV

Subject

Computer Science Applications,Modeling and Simulation

Reference20 articles.

1. Local and global solvability of some parabolic systems modelling chemotaxis;Biler;Adv. Math. Sci. Appl.,1998

2. The 8π problem for radially symmetric solutions of a chemotaxis model in a disc;Biler;Topol. Methods Nonlinear Anal.,2006

3. Two-dimensional Keller–Segel model: Optimal critical mass and qualitative properties of the solutions;Blanchet;Electron. J. Differential Equations,2006

4. A nonlinear heat equation with singular initial data;Brezis;J. Anal. Math.,1996

5. Volume effects in the Keller–Segel model: Energy estimates preventing blow-up;Calvez;J. Math. Pures Appl.,2006

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