On the motion of a body with a cavity filled with compressible fluid

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00503655" target="_blank" >RIV/67985840:_____/19:00503655 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00205-018-01351-8" target="_blank" >http://dx.doi.org/10.1007/s00205-018-01351-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00205-018-01351-8" target="_blank" >10.1007/s00205-018-01351-8</a>

Result language
angličtina
Original language name
On the motion of a body with a cavity filled with compressible fluid
Original language description
We study the motion of the system, S, constituted by a rigid body, B, containing in its interior a viscous compressible fluid, and moving in absence of external forces. Our main objective is to characterize the long time behavior of the coupled system body-fluid. Under suitable assumptions on the “mass distribution” of S, and for a sufficiently “small” Mach number and initial data, we show that every corresponding motion (in a suitable regularity class) must tend to a steady state where the fluid is at rest with respect to B. Moreover, S, as a whole, performs a uniform rotation around an axis parallel to the (constant) angular momentum of S, and passing through its center of mass.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA16-03230S" target="_blank" >GA16-03230S: Thermodynamically consistent models for fluid flows: mathematical theory and numerical solution</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)