Local existence of Strong solutions for a fluid-structure interaction model

TL;DR

This paper proves the local in time existence of strong solutions for a coupled fluid-structure system involving compressible Navier-Stokes equations and an elastic beam at the boundary.

Contribution

It establishes the local existence of strong solutions for a novel fluid-structure interaction model coupling compressible fluids with elastic boundary structures.

Findings

Proved local existence of strong solutions.

Coupled Navier-Stokes and Euler-Bernoulli beam model.

Applicable to rectangular fluid domains with boundary structures.

Abstract

We are interested in studying a system coupling the compressible Navier-Stokes equations with an elastic structure located at the boundary of the fluid domain. Initially the fluid domain is rectangular and the beam is located on the upper side of the rectangle. The elastic structure is modeled by an Euler-Bernoulli damped beam equation. We prove the local in time existence of strong solutions for that coupled system.