Blow-up time estimates in nonlocal reaction-diffusion systems under various boundary conditions

DOI10.1186/s13661-016-0732-2zbMath1357.35061OpenAlexW2567715500WikidataQ59606041 ScholiaQ59606041MaRDI QIDQ501935

Monica Marras, Stella Vernier Piro

Publication date: 10 January 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0732-2

zbMATH Keywords

global existencenonlinear parabolic systemsbounds of blow-up time

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (10)

Bounds for the blow-up time of a porous medium equation with weighted nonlocal source and inner absorption terms ⋮ Asymptotic properties of blow-up solutions in reaction-diffusion equations with nonlocal boundary flux ⋮ Blow-up phenomena for a chemotaxis system with flux limitation ⋮ Estimates on blow-up time of a parabolic system with nonlinear boundary flux ⋮ Blow-up estimate in a reaction-diffusion equation with nonlinear nonlocal flux and source ⋮ Blow-up phenomena in porous medium equation systems with nonlinear boundary conditions ⋮ Blow-up analysis in quasilinear reaction-diffusion problems with weighted nonlocal source ⋮ Blow-up time estimates in porous medium equations with nonlinear boundary conditions ⋮ Blow-up phenomena in a class of coupled reaction-diffusion system with nonlocal boundary conditions ⋮ Blow-up solution of a porous medium equation with nonlocal boundary conditions

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