On the Steady Motion of a Coupled System Solid-Liquid (Memoirs of the American Mathematical Society)

publication date: 30/10/2013
ISBN13: 9780821887738
Format: Paperback
Number Of Pages: 89
ID: 9780821887738
ISBN10: 0821887734

By: Giovanni P. Galdi (author), Mads Kyed (author), Josef Bemelmans (author)Paperback

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Description

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.