Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

0502444 - MÚ 2019 RIV CH eng M - Monography Chapter
Galdi, G. P. - Neustupa, Jiří
Steady-State Navier–Stokes Flow Around a Moving Body.
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. 1. Cham: Springer, 2018 - (Giga, Y.; Novotný, A.), s. 341-417. ISBN 978-3-319-13343-0
R&D Projects: GA ČR GA13-00522S
Institutional support: RVO:67985840
Keywords : Navier-Stokes equations
OECD category: Pure mathematics
https://link.springer.com/referenceworkentry/10.1007%2F978-3-319-13344-7_7

In this chapter we present an updated account of the fundamental mathematical results pertaining the steady-state flow of a Navier–Stokes liquid past a rigid body which is allowed to rotate. Precisely, we shall address questions of existence, uniqueness, regularity, asymptotic structure, generic properties, and (steady and unsteady) bifurcation. Moreover, we will perform a rather complete analysis of the longtime behavior of dynamical perturbation to the above flow, thus inferring, in particular, sufficient conditions for their stability and asymptotic stability.
Permanent Link: http://hdl.handle.net/11104/0294378