Non-simultaneous blow-up in localized reaction–diffusion equations

DOI10.1080/00036811.2010.492501zbMath1207.35075OpenAlexW2160072377WikidataQ58301672 ScholiaQ58301672MaRDI QIDQ3163656

Bingchen Liu, Fengjie Li

Publication date: 26 October 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.492501

zbMATH Keywords

blow-up rateblow-up setlocalized exponential sources

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• The role of nonlinear diffusion in non-simultaneous blow-up
• Blow-up rates in a parabolic system of ignition model
• The blow-up rate of solutions of semilinear heat equations
• Nonexistence of positive solutions to a semilinear elliptic system and blow-up estimates for a reaction-diffusion system
• Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
• Global existence and blow-up for a nonlinear reaction-diffusion system
• Optimal condition for non-simultaneous blow-up in a reaction-diffusion system
• The role of critical exponents in blow-up theorems: The sequel
• Global existence and finite time blow up for a reaction-diffusion system
• Simultaneous and non-simultaneous blow-up for heat equations with coupled nonlinear boundary fluxes
• Properties of blow up solutions to a parabolic system with nonlinear localized terms
• Blow-up rate estimates for semilinear parabolic systems
• Non-simultaneous blow-up in a semilinear parabolic system
• Blowup estimates for a semilinear reaction diffusion system

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