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

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  • 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.
    Mathematics Subject Classification: Primary: 37L30, 35M20; Secondary: 74H40.


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