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The Analyticity and Exponential Decay of a Stokes-Wave Coupling System with Viscoelastic Damping in the Variational Framework

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Zhang, Jing

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The Analyticity and Exponential Decay of a Stokes-Wave Coupling System with Viscoelastic Damping in the Variational Framework
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You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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In this paper, we study a fluid-structure interaction model of Stokes-wave equation coupling system with Kelvin-Voigt type of damping. We show that this damped coupling system generates an analyticity semigroup and thus the semigroup solution, which also satisfies variational framework of weak solution, decays to zero at exponential rate.
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