Recent results on the problem of motion of viscous fluid around a rotating rigid body

0523869 - MÚ 2021 RIV CZ eng C - Conference Paper (international conference)
Deuring, P. - Kračmar, Stanislav - Nečasová, Šárka
Recent results on the problem of motion of viscous fluid around a rotating rigid body.
Proceedings of Topical Problems of Fluid Mechanics 2020. Praha: Institute of Thermomechanics of the Czech Academy of Sciences, 2020 - (Šimurda, D.; Bodnár, T.), s. 42-47. ISBN 978-80-87012-74-1. ISSN 2336-5781.
[Topical Problems of Fluid Mechanics 2020. Prague (CZ), 19.02.2020-21.02.2020]
R&D Projects: GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : pointwise decay * artificial boundary * error estimates
OECD category: Pure mathematics
https://doi.org/10.14311/TPFM.2020.006

We consider the linearized incompressible flow around rotating and translating body in the exterior domain R³D‾, where D⊂R³ is open and bounded, with Lipschitz boundary. We derive the pointwise estimates for the pressure. Further, we consider the linearized problem in a truncation domain DR:=BRD‾ of the exterior domain R³D‾ under certain artificial boundary conditions on the truncating boundary ∂BR, and then compare this solution with the solution in the exterior domain R³D‾ to get the truncation error estimate.
Permanent Link: http://hdl.handle.net/11104/0308146