Title

Global attractor for a composite system of nonlinear wave and plate equations

Abstract

We prove the existence of a compact, finite dimensional, global attractor for a system of strongly coupled wave and plate equations with nonlinear dissipation and forces. This kind of models describes fluid-structure interactions. Though our main focus is on the composite system of two partial differential equations, the result achieved yields as well a new contribution to the asymptotic analysis of either (uncoupled) equation.

Publication Title

Communications on Pure and Applied Analysis

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