In this article, we consider a fluid–structure interaction system where the fluid is viscous and compressible and where the structure is a part of the boundary of the fluid domain and is deformable. The fluid is governed by the barotropic compressible Navier–Stokes system, whereas the structure displacement is described by a wave equation. We show that the corresponding coupled system admits a unique, strong solution for an initial fluid density and an initial fluid velocity in H ³ and for an initial deformation and an initial deformation velocity in H ⁴ and H ³ respectively. The reference configuration for the fluid domain is a rectangular cuboid with the elastic structure being the top face. We use a modified Lagrangian change of variables to transform the moving fluid domain into the rectangular cuboid and then analyze the corresponding linear system coupling a transport equation (for the density), a heat-type equation, and a wave equation. The corresponding results for this linear system and estimations of the coefficients coming from the change of variables allow us to perform a fixed point argument and to prove the existence and uniqueness of strong solutions for the nonlinear system, locally in time.

在本文中，我们考虑一个流固耦合系统，其中流体具有粘性和可压缩性，并且结构是流体域边界的一部分并且是可变形的。流体由正压可压缩 Navier-Stokes 系统控制，而结构位移由波动方程描述。我们表明，相应的联接系统承认用于初始流体密度和在初始流体速度唯一的强溶液ħ ³和用于初始变形，并在初始变形速度ħ ⁴和ħ ³分别。流体域的参考配置是一个矩形长方体，弹性结构是顶面。我们使用改进的拉格朗日变量变化将运动流体域转换为长方体，然后分析耦合传输方程（用于密度）、热型方程和波动方程的相应线性系统。该线性系统的相应结果和来自变量变化的系数估计使我们能够进行不动点论证，并及时证明非线性系统强解的存在性和唯一性。