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Indexed by:期刊论文

Date of Publication:2013-05-01

Journal:DIFFERENTIAL AND INTEGRAL EQUATIONS

Included Journals:SCIE、Scopus

Volume:26

Issue:5-6

Page Number:555-570

ISSN No.: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.