Asymptotic behaviour of nonlinear structural acoustic interactions with thermal effects on the interface
This paper studies uniform stability of coupled systems of nonlinear partial differential equations (PDEs) with an interface. The PDEs considered consist of an undamped wave equation (acoustic medium), defined on a three-dimensional bounded domain, which is coupled with a nonlinear plate equation (structural medium) whose dynamics are defined on a portion \(\Gamma_0\) of the boundary \(\Gamma\) of \(\Omega\). The coupling between the acoustic and structural medium takes place on the boundary portion \(\Gamma_0\), which is referred to as the interface.
scientific article; zbMATH DE number 1751628