On the steady motion of a coupled system solid-liquid
Josef Bemelmans, Giovanni P. Galdi, Mads Kyed
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
Категории:
Год:
2013
Издательство:
Amer Mathematical Society
Язык:
english
Страницы:
102
ISBN 10:
0821887734
ISBN 13:
9780821887738
Серия:
Memoirs of the American Mathematical Society 1060
Файл:
PDF, 685 KB
IPFS:
,
english, 2013