Asymptotic analysis of a non-periodic flow in a thin channel with visco-elastic wall

International audienceAbstract. In this paper we continue the study of a fluid-structure interaction problem with the non periodic case. We consider the non stationary flow of a viscous fluid in a thin rectangle with an elastic membrane as the upper part of the boundary. The physical problem which corresponds to non homogeneous boundary conditions is stated. By using a boundary layer method, an asymp- totic solution is proposed. The properties of the boundary layer functions are established and an error estimate is obtained