Decay rates of interactive hyperbolic-parabolic PDE models with thermal effects on the interface


This study focuses on coupled PDE systems comprising of a hyperbolic and a parabolic-like equation with an interface on a portion of the boundary. The main issue addressed is that of uniform stability of the overall interactive model. The main observation states that boundary nonlinear dissipation placed only on a suitable portion of the part of the boundary suffices for the stabilization of the entire structure.

Publication Title

Applied Mathematics and Optimization