  In this study, we consider a linearized compressible flow structure
interaction PDE model for which the interaction interface is under the effect
of material derivative term. While the linearization takes place around a
constant pressure and density components in structure equation, the flow
linearization is taken with respect to a non-zero, fixed, variable ambient
vector field. This process produces extra "convective derivative" and "material
derivative" terms which causes the coupled system to be nondissipative.
  We analyze the long time dynamics in the sense of asymptotic (strong)
stability in an invariant subspace (one dimensional less) of the entire state
space where the continuous semigroup is "\textit{uniformly bounded}". For this,
we appeal to the pointwise resolvent condition introduced in \cite% {CT} which
avoids many technical complexity and provides a very clean, short and
easy-to-follow proof.
