Mathematical modeling of short-time filtration and acoustic processes in porous media (Q957838)

This paper considers the joint motion of a deformable solid perforated by a system of channels (pores) which are filled with a fluid or gas. The problem depends on a small parameter, which is defined as the ratio of the mean size of the pores to the characteristic size of the domain. Under suitable assumptions, the author proves the existence and uniqueness of solution on an arbitrary time interval. Some convergence results are also established, when the parameter tends to zero.