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论文类型：期刊论文

发表时间：2005-10-01

发表刊物：NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

收录刊物：SCIE、EI

卷号：63

期号：1

页面范围：123-135

ISSN号：0362-546X

关键字：nonlinear diffusion; convection; global boundedness; blow-up

摘要：This paper deals with a coupled nonlinear diffusion system with convection. A characteristic matrix equation covering all the six nonlinear exponents of the system is introduced to get a simple description for the blow-up criteria of the system. In addition, the influence of the four coefficients of the diffusion and the convection as well as the geometry of Omega on global boundedness or not of the solutions is shown clearly, especially for the situation with the critical sign of the characteristic parameters. (c) 2005 Elsevier Ltd. All rights reserved.