Lower bounds for blow-up in a parabolic-parabolic Keller-Segel system

DOI10.3934/proc.2015.0809zbMath1381.35194OpenAlexW2289951399MaRDI QIDQ260908

Stella Vernier Piro, Monica Marras, Giuseppe Viglialoro

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/proc.2015.0809

zbMATH Keywords

chemotaxisblow-up timenonlinear parabolic systems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)

Related Items

Very weak global solutions to a parabolic-parabolic chemotaxis-system with logistic source ⋮ A lower bound on the blow up time for solutions of a chemotaxis system with nonlinear chemotactic sensitivity ⋮ Boundedness properties of very weak solutions to a fully parabolic chemotaxis-system with logistic source ⋮ Explicit Blow-Up Time for Two Porous Medium Problems with Different Reaction Terms ⋮ Explicit lower bound of blow-up time in a fully parabolic chemotaxis system with nonlinear cross-diffusion ⋮ Eventual smoothness and asymptotic behaviour of solutions to a chemotaxis system perturbed by a logistic growth ⋮ 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 ⋮ On explicit lower bounds and blow-up times in a model of chemotaxis

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