On the vanishing rigid body problem in a viscous compressible fluid

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00564462" target="_blank" >RIV/67985840:_____/23:00564462 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jde.2022.11.023" target="_blank" >https://doi.org/10.1016/j.jde.2022.11.023</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jde.2022.11.023" target="_blank" >10.1016/j.jde.2022.11.023</a>

Result language
angličtina
Original language name
On the vanishing rigid body problem in a viscous compressible fluid
Original language description
In this paper we study the interaction of a small rigid body in a viscous compressible fluid. The system occupies a bounded three dimensional domain. The object it allowed to freely move and its dynamics follows the Newton's laws. We show that as the size of the object converges to zero the system fluid plus rigid body converges to the compressible Navier-Stokes system under some mild lower bound on the mass and the inertia momentum. It is a first result of homogenization in the case of fluid-structure interaction in the compressible situation. As a corollary we slightly improved the result on the influence of a vanishing obstacle in a compressible fluid for gama >=6.
Czech name
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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
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA19-04243S" target="_blank" >GA19-04243S: Partial differential equations in mechanics and thermodynamics of fluids</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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