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Fluids Under Control
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SYSNO ASEP 0575328 Document Type M - Monograph Chapter R&D Document Type Monograph Chapter Title Asymptotic behavior of the Navier-Stokes type problem Author(s) Kračmar, S. (CZ)
Nečasová, Šárka (MU-W) RID, SAI, ORCIDSource Title Fluids Under Control. - Cham : Birkhäuser, 2023 / Bodnár T. ; Galdi G. P. ; Nečasová Š. - ISSN 2297-0320 - ISBN 978-3-031-27624-8 Pages s. 141-170 Number of pages 30 s. Number of copy 200 Number of pages 359 Publication form Print - P Language eng - English Country CH - Switzerland Keywords Navier-Stokes system ; fluid flow Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA19-04243S GA ČR - Czech Science Foundation (CSF) GA22-01591S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 DOI https://doi.org/10.1007/978-3-031-27625-5_5 Annotation This paper i a review on the problem of the motion of incompressible flow around a rotating and translating rigid body D in an exterior domain. D is assumed open and bounded, with Lipschitz boundary. We focus on the asymptotic behavior of the problem. It is shown that the velocity may be split into a constant times the first column of the fundamental solution of the Oseen system, plus a remainder term decaying pointwise near infinity at a rate which is higher than the decay rate of the Oseen tensor. Moreover, it is derived the optimal rates of the velocity, gradient of the velocity and the pressure. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2024
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