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

Grigory Panasenko (1) , Ruxandra Stavre (2)

1 LA MUSE - Laboratoire de Mathématiques Unifiées de Saint-Etienne
2 IMAR - "Simion Stoilow" Institute of Mathematics

Abstract. 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.

Domaines: Equations aux dérivées partielles [math.AP]

Grigory Panasenko, Ruxandra Stavre. Asymptotic analysis of a non-periodic flow in a thin channel with visco-elastic wall. Networks and Heterogeneous Media, 2008, 3 (3), pp.651-673. ⟨hal-00867984⟩