Fluids Under Control

0575328 - MÚ 2024 RIV CH eng M - Monography Chapter
Kračmar, S. - Nečasová, Šárka
Asymptotic behavior of the Navier-Stokes type problem.
Fluids Under Control. 1. Cham: Birkhäuser, 2023 - (Bodnár, T.; Galdi, G.; Nečasová, Š.), s. 141-170. Advances in Mathematical Fluid Mechanics. ISBN 978-3-031-27624-8
R&D Projects: GA ČR(CZ) GA19-04243S; GA ČR(CZ) GA22-01591S
Grant - others:AV ČR(CZ) AP2101
Program: Akademická prémie - Praemium Academiae
Institutional support: RVO:67985840
Keywords : Navier-Stokes system * fluid flow
OECD category: Pure mathematics
https://doi.org/10.1007/978-3-031-27625-5_5

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.
Permanent Link: https://hdl.handle.net/11104/0345116