Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614795 | Journal of Mathematical Analysis and Applications | 2016 | 23 Pages |
Abstract
This paper deals with a fully nonlinear degenerate parabolic system with natural (critical) growths and under non-linear boundary conditions. Such problems arise from the heat and water flow through a partially saturated fractured rock mass and structured porous media. Existence of a global weak solution of the problem (on an arbitrary interval of time) is proved by means of semidiscretization in time, deriving suitable a-priori estimates based on W1,pW1,p-regularity of the approximate solution and by passing to the limit from discrete approximations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Michal Beneš, Lukáš Krupička,