Blow-up criterion via scaling invariant quantities with effect on coefficient growth in Keller-Segel system.

zbMath1240.35264MaRDI QIDQ636911

Yoshie Sugiyama

Publication date: 1 September 2011

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

global solutionblow-upKeller-Segel system

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45) Blow-up in context of PDEs (35B44)

Related Items (6)

Finite time blowup for the parabolic-parabolic Keller-Segel system with critical diffusion ⋮ Strong solutions to the Keller-Segel system with the weakL^n/2initial data and its application to the blow-up rate ⋮ Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction ⋮ Global strong solution to the semi-linear Keller-Segel system of parabolic-parabolic type with small data in scale invariant spaces ⋮ Existence, uniqueness and \(L^\infty\)-bound for weak solutions of a time fractional Keller-Segel system ⋮ Partial regularity and blow-up asymptotics of weak solutions to degenerate parabolic systems of porous medium type

This page was built for publication: Blow-up criterion via scaling invariant quantities with effect on coefficient growth in Keller-Segel system.