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Indexed by:期刊论文

Date of Publication:2008-09-01

Journal:NONLINEARITY

Included Journals:SCIE、Scopus

Volume:21

Issue:9

Page Number:2179-2200

ISSN No.:0951-7715

Abstract: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.