Small oscillations of a viscous incompressible fluid with a large number of small interacting particles in the case of their surface distribution

We study the asymptotic behavior of solutions of the problem that describes small motions of a viscous incompressible fluid filling a domain Omega with a large number of suspended small solid interacting particles concentrated in a small neighborhood of a certain smooth surface I" aS, Omega. We prove that, under certain conditions, the limit of these solutions satisfies the original equations in the domain Omega\I" and some averaged boundary conditions (conjugation conditions) on I".