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"Galdi, Giovanni P. (Giovanni Paolo), 1947-"
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On the steady motion of a coupled system solid-liquid
The authors study the unconstrained (free) motion of an elastic solid $\\mathcal B$ in a Navier-Stokes liquid $\\mathcal L$ occupying the whole space outside $\\mathcal B$, under the assumption that a constant body force $\\mathfrak b$ is acting on $\\mathcal B$. More specifically, the authors are interested in the steady motion of the coupled system $\\{\\mathcal B,\\mathcal L\\}$, which means that there exists a frame with respect to which the relevant governing equations possess a time-independent solution. The authors prove the existence of such a frame, provided some smallness restrictions are imposed on the physical parameters, and the reference configuration of $\\mathcal B$ satisfies suitable geometric properties.
eBook
Fundamental trends in fluid-structure interaction
The interaction of a fluid with a solid body is a widespread phenomenon in nature, occurring at different scales and different applied disciplines. Interestingly enough, even though the mathematical theory of the motion of bodies in a liquid is one of the oldest and most classical problems in fluid mechanics, mathematicians have, only very recently, become interested in a systematic study of the basic problems related to fluid-structure interaction, from both analytical and numerical viewpoints.
eBook