Single-point blow-up for parabolic systems with exponential nonlinearities and unequal diffusivities

DOI10.1016/j.na.2016.01.008zbMath1383.35098arXiv1510.02505OpenAlexW2962766808MaRDI QIDQ272763

Philippe Souplet, Slim Tayachi

Publication date: 20 April 2016

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

Full work available at URL: https://arxiv.org/abs/1510.02505

zbMATH Keywords

reaction-diffusion systemsexponential nonlinearitiessingle-point blow-up

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) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Second-order parabolic systems (35K40) Blow-up in context of PDEs (35B44)

Related Items (7)

Blow-up set of type I blowing up solutions for nonlinear parabolic systems ⋮ GLOBAL WELL-POSEDNESS OF A CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION WITH MEMORY ⋮ Blowup solutions for a reaction-diffusion system with exponential nonlinearities ⋮ Numerical approach to fractional blow-up equations with Atangana-Baleanu derivative in Riemann-Liouville sense ⋮ Construction and stability of type I blowup solutions for non-variational semilinear parabolic systems ⋮ 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

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