JournalsaihpcVol. 21, No. 4pp. 533–541

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

  • Alkis S Tersenov

    Department of Mathematics, University of Crete, 71409 Heraklion, Crete, Greece
The preventive effect of the convection and of the diffusion in the blow-up phenomenon for parabolic equations cover
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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.

Cite this article

Alkis S Tersenov, The preventive effect of the convection and of the diffusion in the blow-up phenomenon for parabolic equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 21 (2004), no. 4, pp. 533–541

DOI 10.1016/J.ANIHPC.2003.10.001