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论文类型：期刊论文

发表时间：2009-08-01

发表刊物：APPLIED MATHEMATICS AND COMPUTATION

收录刊物：SCIE、EI、Scopus

卷号：214

期号：1

页面范围：41-47

ISSN号：0096-3003

关键字：Nonlinear diffusion; Convection; Critical exponents; Blow-up; Global existence; Characteristic algebraic system

摘要：The critical exponents are established for a nonlinear diffusion system with convection, which are described clearly by the signs of two parameters solving the so-called characteristic algebraic system. It is proved that the convection plays an important role in determining the critical properties of solutions in the balance case. This greatly improves the authors' previous paper for the same model. (C) 2009 Elsevier Inc. All rights reserved.