Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity

0468917 - MÚ 2017 RIV CH eng J - Journal Article
Deuring, P. - Kračmar, S. - Nečasová, Šárka
Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity.
Zeitschrift für angewandte Mathematik und Physik. Roč. 68, č. 1 (2017), č. článku 16. ISSN 0044-2275. E-ISSN 1420-9039
R&D Projects: GA ČR GA13-00522S
Institutional support: RVO:67985840
Keywords : asymptotic profile * Pointwise decay * rotating body * stationary incompressible Navier–Stokes system
OECD category: Pure mathematics
Impact factor: 1.711, year: 2017
http://link.springer.com/article/10.1007%2Fs00033-016-0760-x

We consider weak (“Leray”) solutions to the stationary Navier–Stokes system with Oseen and rotational terms, in an exterior domain. It is shown 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. This result improves the theory by Kyed (Q Appl Math 71:489–500, 2013).
Permanent Link: http://hdl.handle.net/11104/0266726