The high frequency and inviscid limit of acoustic waves in a porous medium

Physically it is well known that viscous flow problems under Dirichlet boundary condition exhibit a thin layer forming at the boundary when viscosity goes to zero, separating the flow into two regions: a boundary layer and interior flow. The changes that occur in the flow within the boundary layer are very important in understanding the overall behavior of the fluid. In this thesis, we would like to understand this phenomenon when fluid flow occurs in a porous medium and is governed by the linearized compressible Navier-Stokes equations. The goal of this thesis is to describe the energy carried by the flow under the simultaneous inviscid and high frequency limits.