Asymptotic analysis of a viscous fluid–thin plate interaction: Periodic flow

International audienc

Viscous fluid-thin cylindrical elastic layer interaction: asymptotic analysis

International audienc

Viscous Fluid–Thin Elastic Plate Interaction: Asymptotic Analysis with Respect to the Rigidity and Density of the Plate

International audienc

Viscous fluid-thin cylindrical elastic body interaction: asymptotic analysis on contrasting properties

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A Viscous Fluid Flow through a Thin Channel with Mixed Rigid-Elastic Boundary: Variational and Asymptotic Analysis

We study the nonsteady Stokes flow in a thin tube structure composed by two thin rectangles with lateral elastic boundaries which are connected by a domain with rigid boundaries. After a variational approach of the problem which gives us existence, uniqueness, regularity results, and some a priori estimates, we construct an asymptotic solution. The existence of a junction region between the two rectangles imposes to consider, as part of the asymptotic solution, some boundary layer correctors that correspond to this region. We present and solve the problems for all the terms of the asymptotic expansion. For two different cases, we describe the order of steps of the algorithm of solving the problem and we construct the main term of the asymptotic expansion. By means of the a priori estimates, we justify our asymptotic construction, by obtaining a small error between the exact and the asymptotic solutions

Three Dimensional Asymptotic Analysis of an Axisymmetric Flow in a Thin Tube with Thin Stiff Elastic Wall

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Asymptotic Solution for a Micropolar Flow in a Curvilinear Channel

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