Hits:

Indexed by:期刊论文

Date of Publication:2009-08-01

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:SCIE、EI、Scopus

Volume:214

Issue:1

Page Number:41-47

ISSN No.:0096-3003

Key Words:Nonlinear diffusion; Convection; Critical exponents; Blow-up; Global existence; Characteristic algebraic system

Abstract: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.