ENGLISH

On the steady motion of a coupled system solid-liquid

By Josef Bemelmans , Giovanni P. Galdi , Mads Kyed

Book information

Publisher
Amer Mathematical Society
Year
2013
ISBN
0821887734, 978-0-8218-8773-8
Language
english
Format
PDF
Filesize
685 kB (701085 bytes)
Series
Memoirs of the American Mathematical Society 1060
Pages
102\102
Library
kolxoz
Time added
2015-12-12 14:00:00

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

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