Stability of a steady flow of an incompressible Newtonian fluid in an exterior domain

0542803 - MÚ 2022 RIV CH eng C - Conference Paper (international conference)
Neustupa, Jiří
Stability of a steady flow of an incompressible Newtonian fluid in an exterior domain.
Waves in Flows: The 2018 Prague-Sum Workshop Lectures. Cham: Birkhäuser, 2021 - (Bodnár, T.; Galdi, G.; Nečasová, Š.), s. 239-263. Advances in Mathematical Fluid Mechanics. ISBN 978-3-030-68143-2. ISSN 2297-0320.
[Waves in Flows. Prague (CZ), 27.08.2018-31.08.2018]
R&D Projects: GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : incompressible Newtonian fluid * stability * mathematical fluid mechanics
OECD category: Pure mathematics
https://doi.org/10.1007/978-3-030-68144-9_9

This chapter provides a brief survey of studies on stability of a steady flow of an incompressible Newtonian fluid around a compact body B. Results on the long-time behavior and stability under assumptions of “sufficient smallness” of some quantities are cited and briefly described in Sect. 9.2. Results, mainly based on assumptions on spectrum of a certain associated linear operator are presented in Sect. 9.3. Finally, Sect. 9.4 contains a short note on analogous results concerning the case when body B rotates.
Permanent Link: http://hdl.handle.net/11104/0320147