Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier–Stokes–Fourier fluid and a damped plate equation

The article is devoted to the mathematical analysis of a fluid–structure interaction system where fluid compressible and heat conducting structure deformable located on part boundary domain. motion modeled by Navier–Stokes–Fourier displacement described structurally damped plate equation. Our main results are existence strong solutions in an Lp−Lq setting for small time or data. Through change variables fixed point argument, proof mainly based maximal regularity property corresponding linear systems. For existence, this obtained decoupling into several standard systems whereas global data, proved showing that coupled operator R-sectorial.