Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, October 2, 2015 - 12:00 to 13:00

Location:

GLK 115

Event Link:

Local Speaker:

Abstract:

We shall describe a system of partial differential equations which models the diffusion of fluid through a deformable and porous medium. This system is simply illustrated by a saturated sponge but has been applied to model the consolidation of soil, acoustics of the seabed, molding processes, gels, and body tissues. In its classical form, the system consists of either a wave or equilibrium equation for the deformation of the medium coupled to a diffusion equation for the motion of the fluid within that medium. Our objective is to display the mathematical structures of the system which permit the development of existence theory and the numerical computation of the solutions.