On weak solutions to the problem of a rigid body with a cavity filled with a compressible fluid, and their asymptotic behavior

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00522456" target="_blank" >RIV/67985840:_____/20:00522456 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.ijnonlinmec.2020.103431" target="_blank" >https://doi.org/10.1016/j.ijnonlinmec.2020.103431</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ijnonlinmec.2020.103431" target="_blank" >10.1016/j.ijnonlinmec.2020.103431</a>

Result language
angličtina
Original language name
On weak solutions to the problem of a rigid body with a cavity filled with a compressible fluid, and their asymptotic behavior
Original language description
We prove the existence of a weak solution to the equations describing the inertial motions of a coupled system constituted by a rigid body containing a viscous compressible fluid. We then provide a weak-strong uniqueness result that allows us to completely characterize, under certain physical assumptions, the asymptotic behavior in time of the weak solution corresponding to smooth data of restricted “size”, and show that it tends to a uniquely determined steady-state.
Czech name
—
Czech description
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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/GA17-01747S" target="_blank" >GA17-01747S: Theory and numerical analysis of coupled problems in fluid dynamics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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