The preventive effect of the convection and of the diffusion in the blow-up phenomenon for parabolic equations

DOI10.1016/j.anihpc.2003.10.001zbMath1060.35047OpenAlexW1978340928MaRDI QIDQ1888399

Alkis S. Tersenov

Publication date: 23 November 2004

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2004__21_4_533_0

zbMATH Keywords

global existencequasilinear parabolic equationsconvective diffusion equationpreventing of the blow-uprole of the gradient term

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45)

Related Items (8)

Preventing blow up by convective terms in dissipative PDE's ⋮ A condition guaranteeing the absence of the blow-up phenomenon for the generalized Burgers equation ⋮ Influence of Gradient Terms on the Existence of Solutions to the Dirichlet Problem for p-Laplacian ⋮ Global solvability and blow up for the convective Cahn-Hilliard equations with concave potentials ⋮ Blow up of fractional reaction-diffusion systems with and without convection terms ⋮ Global and blow-up solutions for nonlinear parabolic problems with a gradient term under Robin boundary conditions ⋮ Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms ⋮ Blow up of nonautonomous fractional reaction-diffusion systems

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