On the compressible micropolar fluids in a time-dependent domain

0562907 - MÚ 2023 RIV DE eng J - Journal Article
Huang, B. - Nečasová, Šárka - Zhang, L.
On the compressible micropolar fluids in a time-dependent domain.
Annali di Matematica Pura ed Applicata. Roč. 201, č. 6 (2022), s. 2733-2795. ISSN 0373-3114. E-ISSN 1618-1891
R&D Projects: GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : asymmetric stress tensor * compressible micropolar fluids * slip boundary conditions * strong solution * weak solutions
OECD category: Pure mathematics
Impact factor: 1, year: 2022
Method of publishing: Limited access
https://doi.org/10.1007/s10231-022-01218-6

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.
Permanent Link: https://hdl.handle.net/11104/0335075