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论文类型：期刊论文

发表时间：2008-09-01

发表刊物：NONLINEARITY

收录刊物：SCIE、Scopus

卷号：21

期号：9

页面范围：2179-2200

ISSN号：0951-7715

摘要：In this paper, we investigate the large time behaviour of solutions to the exterior problems of a class of quasilinear parabolic equations with convection terms. We establish the critical Fujita exponents p(c) and blow-up theorems of the Fujita type for both homogeneous Neumann and Dirichlet problems. In particular, it is shown that the critical p = p(c) belongs to the blow-up case under any nontrivial initial data. An interesting phenomenon is exploited that the critical Fujita exponent pc could even be infinite for the considered model because of the nonlinear convection.