Weak solutions of coupled dual porosity flows in fractured rock mass and structured porous media

作者：Benes Michal^*; Krupicka Lukas

来源：Journal of Mathematical Analysis and Applications, 2016, 433(1): 543-565.

DOI：10.1016/j.jmaa.2015.07.052

• Initial-boundary value problems for second-order parabolic systems
• Global existence
• Smoothness and regularity of solutions
• Coupled heat and mass transport

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 W-1,W-p-regularity of the approximate solution and by passing to the limit from discrete approximations.

• 出版日期2016-1-1