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Local existence of strong solutions and weak-strong uniqueness for the compressible Navier-Stokes system on moving domains
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SYSNO ASEP 0532706 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Local existence of strong solutions and weak-strong uniqueness for the compressible Navier-Stokes system on moving domains Author(s) Kreml, Ondřej (MU-W) RID, SAI, ORCID
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Piasecki, T. (PL)Source Title Proceedings of the Royal Society of Edinburgh. A - Mathematics. - : Royal Society of Edinburgh - ISSN 0308-2105
Roč. 150, č. 5 (2020), s. 2255-2300Number of pages 46 s. Language eng - English Country GB - United Kingdom Keywords compressible Navier-Stokes equations ; local existence ; strong solution ; time-dependent domain ; weak-strong uniqueness Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects 7AMB16PL060 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) GA17-01747S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000572396300004 EID SCOPUS 85063743789 DOI 10.1017/prm.2018.165 Annotation We consider the compressible Navier–Stokes system on time-dependent domains with prescribed motion of the boundary. For both the no-slip boundary conditions as well as slip boundary conditions we prove local-in-time existence of strong solutions. These results are obtained using a transformation of the problem to a fixed domain and an existence theorem for Navier–Stokes like systems with lower order terms and perturbed boundary conditions. We also show the weak–strong uniqueness principle for slip boundary conditions which remained so far open question. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2021 Electronic address https://doi.org/10.1017/prm.2018.165
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