Self-similar blow up with a continuous range of values of the aggregated mass for a degenerate keller-segel system

Y. Sugiyama, J. J.L. Velázquez

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Abstract

In this paper we show that there exist radial solutions of the Keller-Segel system with porous medium like diffusion and critical exponents that blow up in a self-similar manner with a continuous range of masses. The situation is very different from the one that takes place for the usual Keller-Segel system with semilinear diffusion, that for critical nonlinearities yields blow up with a discrete set of values for the mass.

Original languageEnglish
Pages (from-to)85-112
Number of pages28
JournalAdvances in Differential Equations
Volume16
Issue number1-2
Publication statusPublished - Dec 1 2011

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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