Homogenization of the equation modeling the statics and the dynamics of an incompressible porous medium
The title problem is investigated under the Neumann data on the hole boundaries, and under the Dirichlet data on the external boundary. Using the Korn inequality, the authors obtain an asymptotic expansion for the solution together with error estimates in energy norm. Compared to traditional homogenization problems studied in the literature, here the original dynamic problem has infinite velocity of propagation of disturbances, whereas the homogenized problem has a finite one.
scientific article; zbMATH DE number 1259434