Rational decay of a multilayered structure-fluid PDE system

In this work, we consider a certain multilayered (thick layer) wave–(thin wave–heat (fluid) interactive PDE system. Such coupled systems have been used in the literature to describe blood transport process mammalian vascular systems. particular, deformations of boundary interface (thin are described via two dimensional elastic equation. The present work constitutes an investigation extent stabilizing effects underlying fluid dissipation – across upon both thick and thin structural components. (All three components evolve on their respective geometries.) regard, our main result is derivation uniform decay rates for classical solutions model. To obtain these estimates, necessary priori inequalities static models generated here ultimately allow application wellknown resolvent criterion rational decay.