Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-05-01

Journal: DIFFERENTIAL AND INTEGRAL EQUATIONS

Included Journals: Scopus、SCIE

Volume: 26

Issue: 5-6

Page Number: 555-570

ISSN: 0893-4983

Abstract: This paper studies a class of weighted non-Newtonian filtration equations with slow diffusion. By using the method introduced by Galaktionov and Levine for the classical non-Newtonian filtration equation, we establish the blow-up theorems of Fujiita type for the extended model, where more difficult and complicated estimates are required to treat the additional degeneracy and singularity. In particular, we prove via a delicate analysis that the critical situation of p = p(c) belongs to the blow-up case. The conclusions of this paper quantitatively show the influence of the degeneracy and singularity to the critical Fujita exponents of non-Newtonian filtration equations.