Blow-up and decay criteria for a model of chemotaxis

DOI10.1016/j.jmaa.2009.11.025zbMath1195.35058OpenAlexW1983858054MaRDI QIDQ961071

J. C. Song, Lawrence E. Payne

Publication date: 29 March 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.11.025

zbMATH Keywords

blow-upchemotaxisglobal existenceelliptic-parabolic systemlower bound for the blow-up timeconvex region

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items

Unnamed Item ⋮ Finite-time blow-up of solutions to a cancer invasion mathematical model with haptotaxis effects ⋮ Lower bounds for blow-up in a model of chemotaxis ⋮ Blow-up profiles for a semilinear chemotaxis system arising in biology ⋮ Well-posedness, blow-up dynamics and controllability of the classical chemotaxis model ⋮ Keller-Segel chemotaxis models: a review ⋮ Effect of nonlinear diffusion on a lower bound for the blow-up time in a fully parabolic chemotaxis system

Cites Work

• Unnamed Item
• Free energy and self-interacting particles
• An optimal Poincaré inequality for convex domains
• Model for chemotaxis
• Traveling bands of chemotactic bacteria: a theoretical analysis
• Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system
• A user's guide to PDE models for chemotaxis
• Majorations de la constante de Poincaré rélative au problème de la membrane-domaines étoilés
• From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
• From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
• Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces
• Lower bounds for blow-up time in parabolic problems under Neumann conditions
• On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
• Explosive Instabilities in Mechanics

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