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Note on the problem of motion of viscous fluid around a rotating and translating rigid body
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SYSNO ASEP 0540651 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Note on the problem of motion of viscous fluid around a rotating and translating rigid body Author(s) Deuring, P. (FR)
Kračmar, Stanislav (MU-W) SAI, ORCID, RID
Nečasová, Šárka (MU-W) RID, SAI, ORCIDSource Title Acta Polytechnica. - : České vysoké učení technické - ISSN 1210-2709
Roč. 61, SI (2021), s. 5-13Number of pages 9 s. Language eng - English Country CZ - Czech Republic Keywords artificial boundary conditions ; estimates of pressure ; exterior domain ; incompressible fluid Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA19-04243S GA ČR - Czech Science Foundation (CSF) Method of publishing Open access Institutional support MU-W - RVO:67985840 UT WOS 000618346400002 EID SCOPUS 85101403201 DOI 10.14311/AP.2021.61.0005 Annotation We consider the linearized and nonlinear systems describing the motion of incompressible flow around a rotating and translating rigid body D in the exterior domain Ω = R3 D, where D ⊂ R3 is open and bounded, with Lipschitz boundary. We derive the L∞-estimates for the pressure and investigate the leading term for the velocity and its gradient. Moreover, we show that the velocity essentially behaves near the infinity as a constant times the first column of the fundamental solution of the Oseen system. Finally, we consider the Oseen problem in a bounded domain ΩR:= BR ∩ Ω under certain artificial boundary conditions on the truncating boundary ∂BR, and then we compare this solution with the solution in the exterior domain Ω to get the truncation error estimate. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2022 Electronic address https://doi.org/10.14311/AP.2021.61.0005
Number of the records: 1