Global existence for degenerate quadratic reaction-diffusion systems

被引：3

作者：

Pierre, M. ^{[1
]}

Texier-Picard, R. ^{[1
]}

机构：

[1] EUB, CNRS, IRMAR, ENS Cachan Bretagne, F-35170 Bruz, France

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2009年 / 26卷 / 05期

关键词：

Reaction-diffusion systems; Degenerate parabolic system; Global existence; Atmosphere modelling; Quadratic nonlinearity;

D O I：

10.1016/j.anihpc.2008.06.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of degenerate reaction-diffusion systems with quadratic nonlinearity and diffusion only in the vertical direction. Such systems can appear in the modeling of photochemical generation and atmospheric dispersion of pollutants. The diffusion coefficients are different for all equations. We study global existence of solutions. (C) 2008 Elsevier Masson SAS. All rights reserved.

引用

页码：1553 / 1568

页数：16

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