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On the compressible micropolar fluids in a time-dependent domain
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SYSNO ASEP 0562907 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On the compressible micropolar fluids in a time-dependent domain Author(s) Huang, B. (CN)
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Zhang, L. (CN)Source Title Annali di Matematica Pura ed Applicata. - : Springer - ISSN 0373-3114
Roč. 201, č. 6 (2022), s. 2733-2795Number of pages 63 s. Language eng - English Country DE - Germany Keywords asymmetric stress tensor ; compressible micropolar fluids ; slip boundary conditions ; strong solution ; weak solutions Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA19-04243S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000795634200001 EID SCOPUS 85130142839 DOI 10.1007/s10231-022-01218-6 Annotation We investigate compressible micropolar fluids on a time-dependent domain with slip boundary conditions. Our contribution in this paper is threefold. Firstly, we establish the local existence of the strong solution. Secondly, the global existence of weak solutions is shown. The third one is the weak-strong uniqueness principle for slip boundary conditions. There are several new ideas developed by us to overcome the difficulties caused by the coupled terms and slip boundary conditions. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2023 Electronic address https://doi.org/10.1007/s10231-022-01218-6
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