On the compressible micropolar fluids in a time-dependent domain

0562907 - MÚ 2023 RIV DE eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA19-04243S
Institucionální podpora: RVO:67985840
Klíčová slova: asymmetric stress tensor * compressible micropolar fluids * slip boundary conditions * strong solution * weak solutions
Obor OECD: Pure mathematics
Impakt faktor: 1, rok: 2022
Způsob publikování: Omezený přístup
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.
Trvalý link: https://hdl.handle.net/11104/0335075