Event Detail

Event Type: 
Analysis Seminar
Date/Time: 
Monday, May 16, 2022 - 12:00 to 12:50
Location: 
BEXL 417

Speaker Info

Institution: 
Graduate Student
Abstract: 

A fully saturated poroelastic medium is confined by the sides of a cylinder, and the regions below and above the medium are filled with fluid at respective known pressures. The quasi-static Biot system of partial differential equations describes the filtration flow of fluid through the medium and its small deformations. In this talk, we discuss the existence of a solution to an initial-boundary-value problem for this system in which normal fluid flow is sealed and the medium has tangential slip (Tresca friction law) with friction arising from known normal stress on the sides, the medium is in partial contact with the exterior fluid on the top and bottom, and on top, the displacement of the medium is unilaterally constrained by a Signorini-type free boundary condition.