Grow-up rate of a radial solution for a parabolic-elliptic system in \(\mathbb{R}^2\)

zbMath1182.35054MaRDI QIDQ1032716

Takasi Senba

Publication date: 26 October 2009

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

zbMATH Keywords

Keller-Segel modelradial and positive solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)

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Critical curve for a two-species chemotaxis model with two chemicals in R2 * ⋮ The basin of attraction of the steady-states for a chemotaxis model in \(\mathbb R^2\) with critical mass ⋮ Non-trivial \({\omega}\)-limit sets and oscillating solutions in a chemotaxis model in \(\mathbb R^2\) with critical mass ⋮ Nondegeneracy of blow-up points for the parabolic Keller-Segel system ⋮ Boundedness of solutions to a parabolic-elliptic Keller-Segel equation in \(\mathbb{R}^{2}\) with critical mass ⋮ On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis ⋮ Finite-time blowup in Cauchy problem of parabolic-parabolic chemotaxis system

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