Improved conditions for single-point blow-up in reaction-diffusion systems

DOI10.1016/j.jde.2015.03.024zbMath1320.35097arXiv1501.05112OpenAlexW2964308817MaRDI QIDQ2347017

Slim Tayachi, Philippe Souplet, Nejib Mahmoudi

Publication date: 26 May 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05112

zbMATH Keywords

homogeneous Dirichlet boundary conditionsblow-up setradial symmetryself-similar changes of variable

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) Blow-up in context of PDEs (35B44) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items

Single-point blow-up for parabolic systems with exponential nonlinearities and unequal diffusivities ⋮ Supersolutions for a class of nonlinear parabolic systems ⋮ Construction and stability of blowup solutions for a non-variational semilinear parabolic system ⋮ Global and non global solutions for a class of coupled parabolic systems ⋮ Blow-up set of type I blowing up solutions for nonlinear parabolic systems ⋮ Single-point blow-up for a multi-component reaction-diffusion system ⋮ Blowup solutions for a reaction-diffusion system with exponential nonlinearities ⋮ Construction and stability of type I blowup solutions for non-variational semilinear parabolic systems ⋮ Blow-up problem of quasilinear weakly coupled reaction-diffusion systems with Neumann boundary conditions ⋮ Initial traces and solvability of Cauchy problem to a semilinear parabolic system ⋮ Blow-up analysis of solutions for weakly coupled degenerate parabolic systems with nonlinear boundary conditions ⋮ Blowing up solutions for nonlinear parabolic systems with unequal elliptic operators ⋮ Blow-up results of the positive solution for a weakly coupled quasilinear parabolic system

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