Abstract: International audience; The PDE system introduced in Maity et al. (2019) describes the interaction of surface water waves with a floating solid, and takes into account the viscosity µ of the fluid. In this work, we study the Cummins type integro-differential equation for unbounded domains, that arises when the system is linearized around equilibrium conditions. A proof of the input-output stability of the system is given, thanks to a diffusive representation of the generalized fractionaloperator $\sqrt{1 + \mu s}$. Moreover, relying on Matigno...
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Topics: 
Mathematical analysis
Mechanics
Applied mathematics