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Compressible Navier-Stokes system on a moving domain in the Lp-Lq framework
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SYSNO ASEP 0542806 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Compressible Navier-Stokes system on a moving domain in the Lp-Lq framework Author(s) Kreml, Ondřej (MU-W) RID, SAI, ORCID
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Piasecki, T. (PL)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. 127-158 Number of pages 32 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 compressible Navier-Stokes system ; 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_5 Annotation We prove the local well-posedness for the barotropic compressible Navier-Stokes system on a moving domain, a motion of which is determined by a given vector field V, in a maximal Lp − Lq regularity framework. Under additional smallness assumptions on the data we show that our solution exists globally in time and satisfies a decay estimate. In particular, for the global well-posedness we do not require exponential decay or smallness of V in Lp(Lq). However, we require exponential decay and smallness of its derivatives. 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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