Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2008-09-01

Journal: NONLINEARITY

Included Journals: Scopus、SCIE

Volume: 21

Issue: 9

Page Number: 2179-2200

ISSN: 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.