Event Detail

Event Type: 
Applied Mathematics and Computation Seminar
Friday, March 12, 2021 - 12:00 to 13:00

In this talk we are planning to outline the well-posedness of an initial-boundary-value contact problem for a fully saturated poroelastic medium, which is confined by the sides of a cylinder, and the regions below and above the medium are filled with fluid at respective constant pressures. The poroelastic medium is fixed and sealed on the sides, free and in contact with the exterior fluid on the top and bottom, and displacement of the medium is unilaterally constrained on the top by a Signorini-type free boundary condition. The filtration flow of fluid through the poroelastic medium and the small deformations of the medium are described by a quasi-static Biot system of partial differential equations. In applications, this type of problems may arise from a variety of disciplines, including: consolidation problems in soil sciences, manufacture of composite materials by injection molding, and modeling articular cartilage in biomedical sciences.