Finite-time blow-up in the higher-dimensional parabolic–parabolic Keller–Segel system

Author:

Winkler Michael

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics

Reference38 articles.

1. Global solutions to some parabolic–elliptic systems of chemotaxis;Biler;Adv. Math. Sci. Appl.,1999

2. Large mass self-similar solutions of the parabolic–parabolic Keller–Segel model of chemotaxis;Biler;J. Math. Biol.,2011

3. Critical mass for a Patlak–Keller–Segel model with degenerate diffusion in higher dimensions;Blanchet;Calc. Var. Partial Differential Equations,2009

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

5. Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski–Poisson system;Cieślak;C. R. Math. Acad. Sci. Paris,2009

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