The profile near blowup time for solutions of diffusion systems coupled with localized nonlinear reactions

DOI10.1016/S0362-546X(01)00798-2zbMath1004.35059MaRDI QIDQ1612618

R. Smith

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

blow-up rateboundary layersemilinear parabolic systemhomogeneous Dirichlet boundary conditionslocalized 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)

Related Items (10)

Blow-up for a degenerate reaction-diffusion system with nonlinear localized sources ⋮ Infinite time blow-up for superlinear parabolic problems with localized reaction ⋮ Blow-up properties for a degenerate parabolic system with nonlinear localized sources ⋮ A degenerate parabolic system with localized sources and nonlocal boundary condition ⋮ Blow up behavior for a semilinear parabolic equation with localized source ⋮ Global existence and blow-up for a class of degenerate parabolic systems with localized source ⋮ Neumann problem for reaction-diffusion systems with nonlocal nonlinear sources ⋮ Existence, uniqueness and asymptotic behavior of solutions for a singular parabolic equation ⋮ Critical exponents and asymptotic estimates of solutions to parabolic systems with localized nonlinear sources ⋮ Blow-up solutions to the Cauchy problem of a fractional reaction-diffusion system

Cites Work

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• A class of nonlinear non-classical parabolic equations
• The blow-up rate of solutions of semilinear heat equations
• The blowup property of solutions to some diffusion equations with localized nonlinear reactions
• Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
• The asymptotic behavior of blowup solution of localized nonlinear equation
• A Mathematical Analysis of Blowup for Thermal Reactions—the Spatially Nonhomogeneous Case
• Nonlinear elliptic boundary-value problems in unbounded domains
• Blow-up in Nonlocal Reaction-Diffusion Equations

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