Blow-up of solutions to a parabolic system with nonlocal source

DOI10.1080/00036811.2017.1292351zbMath1391.35216OpenAlexW2589736684WikidataQ58130736 ScholiaQ58130736MaRDI QIDQ4576772

Jun Zhou, Zhihua Dong

Publication date: 10 July 2018

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

Full work available at URL: https://doi.org/10.1080/00036811.2017.1292351

zbMATH Keywords

blow-upglobal existenceboundary layerblow-up profilesparabolic system with variable coefficient and nonlocal source

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57)

Related Items (1)

Blow-up analysis of a nonlinear pseudo-parabolic equation with memory term

Cites Work

• Unnamed Item
• The profile and boundary layer for parabolic system with critical simultaneous blow-up exponent
• The role of nonlinear diffusion in non-simultaneous blow-up
• Uniform blow-up profiles and boundary layer for a parabolic system with localized sources
• Coexistence of simultaneous and nonsimultaneous blow-up in a semilinear parabolic system.
• Properties of non-simultaneous blow-up solutions in nonlocal parabolic equations
• The blowup property of solutions to some diffusion equations with localized nonlinear reactions
• 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
• A semilinear parabolic system in a bounded domain
• Global existence and blow-up of solutions to a nonlocal reaction-diffusion system
• Blow-up properties for parabolic systems with localized nonlinear sources.
• The asymptotic behavior of blowup solution of localized nonlinear equation
• Uniform blow-up profiles and boundary layer for a parabolic system with nonlocal sources
• Uniform blow-up profiles and boundary layer for a parabolic system with localized nonlinear reaction terms
• Estimates for the blowup time of a combustion model with nonlocal heat sources
• Blowup properties for several diffusion systems with localised sources
• Blow-up time and boundary layer for solutions in parabolic equations with different diffusion
• Blow-up rate estimates for semilinear parabolic systems
• Non-simultaneous blow-up in a semilinear parabolic system

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