Event Detail

Event Type: 
Graduate Student Summer Seminar
Date/Time: 
Wednesday, August 8, 2018 - 14:30 to 15:15
Location: 
Kidder 364

Speaker Info

Local Speaker: 
Abstract: 

The quasi-static Biot system is a coupled system of parabolic and elliptic partial differential equations that describe the small deformations of and fluid flow through a fully saturated elastic and porous structure. Examples include subsurface flow of groundwater and blood flow through tissue. Our objective is to extend the existence-uniqueness-regularity theory for such systems to include problems with constraints on the displacement and friction at interfaces. Such contact problems are highly nonlinear and ubiquitous in the applications.