Coexistence of simultaneous and nonsimultaneous blow-up in a semilinear parabolic system.
From MaRDI portal
Publication:976603
zbMath1212.35219MaRDI QIDQ976603
Philippe Souplet, Julio D. Rossi
Publication date: 15 June 2010
Published in: Differential and Integral Equations (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic systems (35K45)
Related Items
Global existence and blow up of solutions for two classes of reaction diffusion systems with two nonlinear source terms in bounded domain, Blow-up properties for a degenerate parabolic system coupled via nonlinear boundary flux, Non-simultaneous blow-up of a reaction-diffusion system with inner absorption and coupled via nonlinear boundary flux, Universal bounds and blow-up estimates for a reaction-diffusion system, The profile and boundary layer for parabolic system with critical simultaneous blow-up exponent, Asymptotic properties of blow-up solutions in reaction-diffusion equations with nonlocal boundary flux, Estimates for the blowup time of a combustion model with nonlocal heat sources, Blow-up solutions in a Cauchy problem of parabolic equations with spatial coefficients, Simultaneous and non-simultaneous blow-up for a cross-coupled parabolic system, Blow-up of solutions to a parabolic system with nonlocal source, Properties of non-simultaneous blow-up in heat equations coupled via different localized sources, Asymptotic estimates and Fujita exponents of blow-up solutions in weighted parabolic systems, Blow-up phenomena for a system of semilinear heat equations with nonlinear boundary flux, Non-simultaneous blow-up and blow-up rates for reaction-diffusion equations, Non-simultaneous blow-up for \(n\)-componential parabolic systems, Blow-up properties for heat equations coupled via different nonlinearities, Non-simultaneous blow-up profile and boundary layer estimate in nonlinear parabolic problems, Ill-posedness issue for a multidimensional hyperbolic-parabolic model of chemotaxis in critical Besov spaces \(\dot{B}_{2 d , 1}^{- \frac{ 3}{ 2}} \times ( \dot{B}_{2 d , 1}^{- \frac{ 1}{ 2}} )^d\), Blow-up properties of solutions for a multi-coupled parabolic system, Blow-up analysis for a system of heat equations with nonlinear flux which obey different laws, Non-simultaneous versus simultaneous quenching in a coupled nonlinear parabolic system, Asymptotic behaviors of solutions to a reaction-diffusion equation with isochronous nonlinearity, Asymptotic estimates to non-global solutions of a multi-coupled parabolic system, Non-simultaneous blow-up for a multi-coupled reaction-diffusion system, Total versus single point blow-up in a localized heat system, Non-simultaneous blow-up in parabolic equations coupled via localized sources, Simultaneous and non-simultaneous blow-up criteria of solutions for a diffusion system with weighted localized sources, Non-simultaneous blow-up in a parabolic system with three components, Critical exponents for non-simultaneous blow-up in a localized parabolic system, Global well-posedness of coupled parabolic systems, A complete classification for non-simultaneous blow-up, Multiple absorption-related blow-up rates to a coupled heat system, Non-simultaneous blow-up of \(n\) components for nonlinear parabolic systems, Optimal classification for blow-up phenomena in heat equations coupled via exponential sources, Thermal avalanche after non-simultaneous blow-up in heat equations coupled via nonlinear boundary, Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity, 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 results of the positive solution for a weakly coupled quasilinear parabolic system
