Note to the problem of asymptotic behavior of viscous incompressible flow around a rotating body

0461455 - MÚ 2017 RIV FR eng J - Journal Article
Deuring, P. - Kračmar, S. - Nečasová, Šárka
Note to the problem of asymptotic behavior of viscous incompressible flow around a rotating body.
Comptes Rendus Mathematique. Roč. 354, č. 8 (2016), s. 794-798. ISSN 1631-073X. E-ISSN 1778-3569
R&D Projects: GA ČR GA13-00522S
Institutional support: RVO:67985840
Keywords : Navier-Stokes system * Oseen system
Subject RIV: BA - General Mathematics
Impact factor: 0.396, year: 2016
http://www.sciencedirect.com/science/article/pii/S1631073X16300863

We consider weak solutions to the stationary Navier–Stokes system with Oseen and rotational terms, in an exterior domain. We are interested in the leading term for the velocity field and its gradient. Moreover, we deal with the asymptotic behavior at infinity. We proved that the velocity may be split, within constants, into the first column of the fundamental solution to 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. This result improves the theory proposed by M. Kyed [Asymptotic profile of a linearized flow past a rotating body, Q. Appl. Math. 71 (2013) 489–500; On the asymptotic structure of a Navier–Stokes flow past a rotating body, J. Math. Soc. Jpn. 66 (2014) 1–16].
Permanent Link: http://hdl.handle.net/11104/0261053