Blow-up phenomena in porous medium equation systems with nonlinear boundary conditions

DOI10.1016/j.camwa.2019.02.007zbMath1442.35191OpenAlexW2916421045WikidataQ128321338 ScholiaQ128321338MaRDI QIDQ2204042

Juntang Ding, Xu-Hui Shen

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.02.007

zbMATH Keywords

blow-uplower boundporous medium equation system

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) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (10)

Lower bound for the blow-up time for a general nonlinear nonlocal porous medium equation under nonlinear boundary condition ⋮ Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions ⋮ Estimates on blow-up time of a parabolic system with nonlinear boundary flux ⋮ Nonlinear boundary value problem for pseudoparabolic equation ⋮ Unnamed Item ⋮ Blow-up phenomena in a class of coupled reaction-diffusion system with nonlocal boundary conditions ⋮ Blow-up problem of quasilinear weakly coupled reaction-diffusion systems with Neumann boundary conditions ⋮ Blow-up analysis of solutions for weakly coupled degenerate parabolic systems with nonlinear boundary conditions ⋮ Lower bound for the blow-up time for the nonlinear reaction-diffusion system in high dimensions ⋮ Blow-up results of the positive solution for a weakly coupled quasilinear parabolic system

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