Global Existence and Extinction Singularity for a Fast Diffusive Polytropic Filtration Equation with Variable Coefficient

Author:

Liu Dengming1ORCID,Liu Changyu1ORCID

Affiliation:

1. School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan, Hunan 411201, China

Abstract

In this article, we deal with an inhomogeneous fast diffusive polytropic filtration equation. By using the energy estimate approach, Hardy–Littlewood–Sobolev inequality, and a series of ordinary differential inequalities, we prove the global existence result and obtain the conditions on the occurrence of the extinction phenomenon of the weak solution.

Funder

Natural Science Foundation of Hunan Province

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Reference40 articles.

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