Type II blowup of solutions to a simplified Keller-Segel system in two dimensional domains

DOI10.1016/j.na.2006.02.027zbMath1114.35090OpenAlexW2095244803MaRDI QIDQ875289

Takasi Senba

Publication date: 13 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.02.027

zbMATH Keywords

solutionblowupradial solutionKeller-Segel systemparabolic-elliptic systembackward self similar solutiontype II

Mathematics Subject Classification ID

Related Items (17)

STATISTICAL MODELS OF CRIMINAL BEHAVIOR: THE EFFECTS OF LAW ENFORCEMENT ACTIONS ⋮ On a parabolic-elliptic system with chemotaxis and logistic type growth ⋮ Type II blowup in a doubly parabolic Keller-Segel system in two dimensions ⋮ Exclusion of boundary blowup for 2D chemotaxis system provided with Dirichlet boundary condition for the Poisson part ⋮ Collapsing-ring blowup solutions for the Keller-Segel system in three dimensions and higher ⋮ A STATISTICAL MODEL OF CRIMINAL BEHAVIOR ⋮ Aggregation-Diffusion Equations: Dynamics, Asymptotics, and Singular Limits ⋮ The fast signal diffusion limit in a Keller-Segel system ⋮ Existence, uniqueness and Lipschitz dependence for Patlak-Keller-Segel and Navier-Stokes in \(\mathbb R^2\) with measure-valued initial data ⋮ On a weak attractor of a class of PDEs with degenerate diffusion and chemotaxis ⋮ Blow-up behavior of solutions to a degenerate parabolic-parabolic Keller-Segel system ⋮ Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction ⋮ Almost collapse mass quantization in 2D Smoluchowski-Poisson equation ⋮ The fast signal diffusion limit in nonlinear chemotaxis systems ⋮ Determination of blowup type in the parabolic-parabolic Keller-Segel system ⋮ Finite-time blowup in Cauchy problem of parabolic-parabolic chemotaxis system ⋮ The fast signal diffusion limit in Keller-Segel(-fluid) systems

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