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

Alkis S. Tersenov

Type: Article

Publication Date: 2004-08-01

Citations: 10

DOI: https://doi.org/10.1016/j.anihpc.2003.10.001

Abstract

The goal of this paper is to investigate the role of the gradient term and of the diffusion coefficient in the preventing of the blow-up of the solution for semilinear and quasilinear parabolic problems. Résumé Le but de cet article est de voir comment le terme de gradient et le coefficient de diffusion empêchent l’explosion des solutions des problèmes semilinéaires et quasilinéaires paraboliques.

Locations

Annales de l Institut Henri Poincaré C Analyse Non Linéaire - View - PDF
French digital mathematics library (Numdam) - View - PDF

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+	Analysis of a convective reaction-diffusion equation	1988	Tsu-Fen Chen Howard A. Levine Paul Sacks
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+ PDF Chat	Global solvability for a class of quasilinear parabolic problems	2001	Alkis S. Tersenov Ar. S. Tersenov
+	Finite Time Blow-up for a Non-linear Parabolic Equation with a Gradient Term and Applications	1996	Philippe Souplet
+	Self-similar subsolutions and blow-up for nonlinear parabolic equations	1997	Philippe Souplet Fred B. Weissler
+ PDF Chat	Analysis of a Convective Reaction-Diffusion Equation II	1989	Harold Levine L. E. Payne Paul Sacks Brian Straughan
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