On explicit lower bounds and blow-up times in a model of chemotaxis

DOI10.3934/proc.2015.0409zbMath1339.35064OpenAlexW2320072042MaRDI QIDQ260806

Monica Marras, Giuseppe Viglialoro, Maria Antonietta Farina

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.2015.0409

zbMATH Keywords

Neumann boundary conditionslower boundblow-up timenonlinear parabolic systemsKeller-Segel system

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Interacting particle systems in time-dependent statistical mechanics (82C22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items

Very weak global solutions to a parabolic-parabolic chemotaxis-system with logistic source ⋮ 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 ⋮ Lower Bound of Blow up Time for Three Species Cooperating Model ⋮ Eventual smoothness and asymptotic behaviour of solutions to a chemotaxis system perturbed by a logistic growth ⋮ Effect of nonlinear diffusion on a lower bound for the blow-up time in a fully parabolic chemotaxis system ⋮ Lower bounds for blow-up in a parabolic-parabolic Keller-Segel system

Uses Software

• FreeFem++

Cites Work

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