Stability of steady flow past a rotating body

0466778 - MÚ 2017 RIV JP eng C - Conference Paper (international conference)
Galdi, G. P. - Neustupa, Jiří
Stability of steady flow past a rotating body.
Mathematical Fluid Dynamics, Present and Future. Tokyo: Springer, 2016 - (Shibata, Y.; Suzuki, Y.), s. 71-94. Springer Proceedings in Mathematics & Statistics, 183. ISBN 978-4-431-56455-3. ISSN 2194-1009.
[International Conference on Mathematical Fluid Dynamics, Present and Future. Tokyo (JP), 11.11.2014-14.11.2014]
R&D Projects: GA ČR GA13-00522S
Institutional support: RVO:67985840
Keywords : Navier-Stokes equations * rotation * stability
Subject RIV: BA - General Mathematics
http://link.springer.com/chapter/10.1007/978-4-431-56457-7_4

We study stability of a steady solution of the mathematical model describing the flow of a viscous incompressible fluid past a rotating body. We derive a sufficient condition for stability, which requires the L1 and L2–integrability on the time interval (0,\infty) of the semigroup generated by the relevant linear operator, applied to a finite family of suitable functions, in a norm restricted to a “sufficiently large” bounded region around the body. No assumption on the smallness of the steady solution is required.
Permanent Link: http://hdl.handle.net/11104/0265013