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A stability estimate for fluid structure interaction problem with non-linear beam

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  • In this work we consider the dynamical response of a non-linear beam with viscous damping, perturbed in both the transverse and axial directions interacting with a potential flow. In particular we show that for a class of boundary conditions (clamped beam) and given inlet velocity flow for the fluid, there exists appropriate energy norm for the parameters of the beam (displacements) and flow (potential) bounded by the inlet boundary condition for the fluid flow.
    Mathematics Subject Classification: Primary: 49K20, 70K20; Secondary: 74K10.

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