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

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Publication:536521
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zbMath1221.35087MaRDI QIDQ536521

Juan J. L. Velazquez, Yoshie Sugiyama

Publication date: 18 May 2011

Published in: Advances in Differential Equations (Search for Journal in Brave)


zbMATH Keywords

elliptic-parabolic systembackward self-similar solution


Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06)


Related Items (5)

Blow-up and delay for a parabolic-elliptic Keller-Segel system with a source term ⋮ Blow-up profiles for a semilinear chemotaxis system arising in biology ⋮ Facing low regularity in chemotaxis systems ⋮ On the parabolic-elliptic Patlak-Keller-Segel system in dimension 2 and higher ⋮ Partial regularity and blow-up asymptotics of weak solutions to degenerate parabolic systems of porous medium type




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