Finite-time blowup and global-in-time unbounded solutions to a parabolic–parabolic quasilinear Keller–Segel system in higher dimensions-Reference-Cited by-同舟云学术

Finite-time blowup and global-in-time unbounded solutions to a parabolic–parabolic quasilinear Keller–Segel system in higher dimensions

Published:2012-05 Issue:10 Volume:252 Page:5832-5851
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Cieślak Tomasz,Stinner Christian

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference20 articles.

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

3. Quasilinear nonuniformly parabolic system modelling chemotaxis;Cieślak;J. Math. Anal. Appl.,2007

4. The solutions of the quasilinear Keller–Segel system with the volume filling effect do not blow up whenever the Lyapunov functional is bounded from below;Cieślak,2006

5. Finite time blow-up for a one-dimensional quasilinear parabolic–parabolic chemotaxis system;Cieślak;Ann. Inst. H. Poincaré Anal. Non Linéaire,2010

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