Global existence and blow-up of solutions for a Non-Newton polytropic filtration system with special volumetric moisture content

摘要

This paper deals with a doubly degenerate parabolic system with special volumetric moisture content, which is called a Non-Newton polytropic filtration system. Under appropriate hypotheses, we prove that the solution either exists globally or blows up in finite time. (C) 2016 Elsevier Ltd. All rights reserved.