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Stability of a steady flow of an incompressible Newtonian fluid in an exterior domain
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SYSNO ASEP 0542803 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Stability of a steady flow of an incompressible Newtonian fluid in an exterior domain Author(s) Neustupa, Jiří (MU-W) RID, SAI, ORCID Source Title Waves in Flows: The 2018 Prague-Sum Workshop Lectures. - Cham : Birkhäuser, 2021 / Bodnár T. ; Galdi G. P. ; Nečasová Š. - ISSN 2297-0320 - ISBN 978-3-030-68143-2 Pages s. 239-263 Number of pages 25 s. Publication form Print - P Action Waves in Flows Event date 27.08.2018 - 31.08.2018 VEvent location Prague Country CZ - Czech Republic Event type WRD Language eng - English Country CH - Switzerland Keywords incompressible Newtonian fluid ; stability ; mathematical fluid mechanics Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA19-04243S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 DOI 10.1007/978-3-030-68144-9_9 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2022
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