Blowup estimates for a semilinear reaction diffusion system

DOI10.1006/jmaa.2000.7289zbMath0990.35065OpenAlexW2074029433MaRDI QIDQ5937227

Mingxin Wang

Publication date: 15 August 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7eb372fac33c60b4538f6dade2d723f93e00efb1

zbMATH Keywords

nonnegative continuous initial datazero Dirichlet boundary condition

Mathematics Subject Classification ID

Related Items (28)

Non-simultaneous blow-up in localized reaction–diffusion equations ⋮ The profile and boundary layer for parabolic system with critical simultaneous blow-up exponent ⋮ Blow-up solutions for localized reaction-diffusion equations with variable exponents ⋮ Life span of solutions with large initial data for a class of coupled parabolic systems ⋮ Asymptotic properties of blow-up solutions in reaction-diffusion equations with nonlocal boundary flux ⋮ Supersolutions for a class of nonlinear parabolic systems ⋮ Asymptotic behavior at infinity of the stationary solution to a semilinear heat equation ⋮ Uniform blow-up rates and asymptotic estimates of solutions for diffusion systems with weighted localized sources ⋮ On the semilinear reaction diffusion system arising from nuclear reactors ⋮ Blow-up for a degenerate reaction-diffusion system with nonlinear nonlocal sources ⋮ Blow-up set of type I blowing up solutions for nonlinear parabolic systems ⋮ Existence and nonexistence of global positive solutions for a weakly coupled \(P\)-Laplacian system ⋮ A note on blow-up analysis for a system of semilinear parabolic equations ⋮ Properties of non-simultaneous blow-up in heat equations coupled via different localized sources ⋮ Non-simultaneous blow-up and blow-up rates for reaction-diffusion equations ⋮ Blow-up rates for semi-linear reaction-diffusion systems ⋮ Blow-up properties for heat equations coupled via different nonlinearities ⋮ Uniform blow-up rates and asymptotic estimates of solutions for diffusion systems with nonlocal sources ⋮ Threshold results for semilinear parabolic systems ⋮ Non-simultaneous blow-up in parabolic equations coupled via localized sources ⋮ Global existence and blow up for a parabolic system with nonlinear boundary condition ⋮ Blow-up analyses in reaction-diffusion equations with Fujita exponents ⋮ Critical exponents for non-simultaneous blow-up in a localized parabolic system ⋮ Optimal classification for blow-up phenomena in heat equations coupled via exponential sources ⋮ Critical exponents and asymptotic estimates of solutions to parabolic systems with localized nonlinear sources ⋮ Optimal conditions of non-simultaneous blow-up and uniform blow-up profiles in localized parabolic equations ⋮ Properties of non-simultaneous blow-up solutions in nonlocal parabolic equations ⋮ Blow-up rate estimates for a doubly coupled reaction-diffusion system

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