Blow-up analyses in reaction-diffusion equations with nonlinear nonlocal boundary flux

DOI10.1007/S00033-019-1155-6zbMath1418.35224OpenAlexW2954822576WikidataQ127613390 ScholiaQ127613390MaRDI QIDQ2001916

Fengjie Li, Bingchen Liu, Hongyan Lin, Xiangyu Wang

Publication date: 11 July 2019

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-019-1155-6

zbMATH Keywords

blow-up ratereaction-diffusion equationsblow-up timenon-simultaneous blow-upnonlinear nonlocal boundary flux

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15)

Related Items (2)

Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition ⋮ Blowup time estimates for the heat equation with a nonlocal boundary condition

Cites Work

• Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. II.
• Functional analysis, Sobolev spaces and partial differential equations
• Asymptotic properties of blow-up solutions in reaction-diffusion equations with nonlocal boundary flux
• On global existence of solutions of initial boundary value problem for a system of semilinear parabolic equations with nonlinear nonlocal Neumann boundary conditions
• Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions
• Non-simultaneous blow-up for a multi-coupled reaction-diffusion system
• Nonsimultaneous blow-up for a quasilinear parabolic system with reaction at the boundary
• Blow-up for a parabolic system coupled in an equation and a boundary condition
• Blow-up problem for semilinear heat equation with nonlinear nonlocal boundary condition
• The Profile Near Blowup Time for Solution of the Heat Equation with a Nonlinear Boundary Condition
• Non-simultaneous blow-up in a semilinear parabolic system
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