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January/February 2011 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
Adv. Differential Equations 16(1/2): 85-112 (January/February 2011).

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.

Citation

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Y. Sugiyama. J.J.L. Velázquez. "Self-similar blow up with a continuous range of values of the aggregated mass for a degenerate Keller-Segel system." Adv. Differential Equations 16 (1/2) 85 - 112, January/February 2011.

Information

Published: January/February 2011
First available in Project Euclid: 18 December 2012

zbMATH: 1221.35087
MathSciNet: MR2766895

Subjects:
Primary: 35K45, 35K57, 35K65

Rights: Copyright © 2011 Khayyam Publishing, Inc.

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Vol.16 • No. 1/2 • January/February 2011
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