On the finite-time blow-up of a non-local parabolic equation describing chemotaxis.

zbMath1212.35233MaRDI QIDQ601622

Takashi Suzuki, Nikos I. Kavallaris

Publication date: 28 October 2010

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

zbMATH Keywords

Dirichlet boundary conditionfinite-time blow-upfull chemotaxis systemnon-local parabolic equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (10)

Blowup solutions for the nonlocal shadow limit model of a singular Gierer-Meinhardt system with critical parameters ⋮ A multi-species chemotaxis system: Lyapunov functionals, duality, critical mass ⋮ Blow-up analysis for heat equation with a nonlocal weighted exponential boundary flux ⋮ Finite-time blow-up of a non-local stochastic parabolic problem ⋮ Diffusion-Driven Blow-Up for a Nonlocal Fisher-KPP Type Model ⋮ On Radial two-species Onsager vortices near the critical temperature ⋮ Blow-up for a nonlocal parabolic equation ⋮ On computation of bounds of the bifurcation parameter for a non-local elliptic equation with increasing nonlinearity ⋮ A Time Discretization Scheme for a Nonlocal Degenerate Problem Modelling Resistance Spot Welding ⋮ Chemotactic systems in the presence of conflicts: A new functional inequality

This page was built for publication: On the finite-time blow-up of a non-local parabolic equation describing chemotaxis.