Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2009-08-01

Journal: APPLIED MATHEMATICS AND COMPUTATION

Included Journals: Scopus、EI、SCIE

Volume: 214

Issue: 1

Page Number: 41-47

ISSN: 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.