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On the vanishing rigid body problem in a viscous compressible fluid
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SYSNO ASEP 0564462 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On the vanishing rigid body problem in a viscous compressible fluid Author(s) Bravin, M. (ES)
Nečasová, Šárka (MU-W) RID, SAI, ORCIDSource Title Journal of Differential Equations. - : Elsevier - ISSN 0022-0396
Roč. 345, February 5 (2023), s. 45-77Number of pages 33 s. Language eng - English Country US - United States Keywords PDEs ; fluid-structure interaction ; asymptotic limit ; compressible Navier-Stokes ; rigid body Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA19-04243S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000897817400002 EID SCOPUS 85142387191 DOI 10.1016/j.jde.2022.11.023 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2024 Electronic address https://doi.org/10.1016/j.jde.2022.11.023
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