Explicit lower bound of blow-up time in a fully parabolic chemotaxis system with nonlinear cross-diffusion

DOI10.1016/j.jmaa.2015.11.048zbMath1331.35167OpenAlexW2181818138MaRDI QIDQ905930

Youshan Tao, Stella Vernier Piro

Publication date: 28 January 2016

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.2015.11.048

zbMATH Keywords

chemotaxisexplicit lower boundsblow-up timenonlinear cross-diffusion

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (6)

A lower bound on the blow up time for solutions of a chemotaxis system with nonlinear chemotactic sensitivity ⋮ Decay in chemotaxis systems with a logistic term ⋮ Lifespan estimates via Neumann heat kernel ⋮ Lower Bound of Blow up Time for Three Species Cooperating Model ⋮ Blow‐up phenomena in chemotaxis systems with a source term ⋮ Effect of nonlinear diffusion on a lower bound for the blow-up time in a fully parabolic chemotaxis system

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