Blow-up properties for parabolic systems with localized nonlinear sources.

DOI10.1016/J.AML.2004.06.004zbMath1060.35050OpenAlexW2052301532MaRDI QIDQ1767121

Mingxin Wang, Hui-Ling Li

Publication date: 7 March 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2004.06.004

zbMATH Keywords

Simultaneous blow-upUniform blow-up profiles

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (13)

Simultaneous and non-simultaneous quenching for a coupled semilinear parabolic system in a \(n\)-dimensional ball with singular localized sources ⋮ Blow-up solutions for localized reaction-diffusion equations with variable exponents ⋮ Uniform blow-up rate for parabolic equations with a weighted nonlocal nonlinear source ⋮ Blow-up of solutions to a parabolic system with nonlocal source ⋮ Global existence and blow-up for weakly coupled degenerate and singular parabolic equations with localized source ⋮ Uniform blow-up profiles and boundary layer for a parabolic system with localized sources ⋮ Uniform blow-up rates and asymptotic estimates of solutions for diffusion systems with nonlocal sources ⋮ Blowup solutions of Grushin's operator ⋮ Non-existence of positive solutions to nonlocal Lane-Emden equations ⋮ Blowup properties for several diffusion systems with localised sources ⋮ Propagations of singularities in a parabolic system with coupling nonlocal sources ⋮ Optimal conditions of non-simultaneous blow-up and uniform blow-up profiles in localized parabolic equations ⋮ Life span of solutions with large initial data for a semilinear parabolic system coupling exponential reaction terms

Cites Work

• Unnamed Item
• Unnamed Item
• A class of nonlinear non-classical parabolic equations
• Blowing-up of solution for a nonlocal reaction-diffusion problem in combustion theory
• The blowup property of solutions to some diffusion equations with localized nonlinear reactions
• Quasilinear reaction-diffusion systems with nonlinear boundary conditions
• Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
• Blow-up rate for a semilinear reaction diffusion system
• Blow-up rates for semilinear parabolic systems with nonlinear boundary conditions
• The asymptotic behavior of blowup solution of localized nonlinear equation
• The role of critical exponents in blow-up theorems: The sequel
• Blow-up in Nonlocal Reaction-Diffusion Equations
• BLOW-UP PROPERTIES OF SOLUTIONS TO PARABOLIC SYSTEMS COUPLED IN EQUATIONS AND BOUNDARY CONDITIONS
• Coupled diffusion systems with localized nonlinear reactions

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