Low stratification of a heat-conducting fluid in time-dependent domain

0549713 - MÚ 2022 RIV CH eng J - Journal Article
Kreml, Ondřej - Mácha, Václav - Nečasová, Šárka - Wróblewska-Kamińska, A.
Low stratification of a heat-conducting fluid in time-dependent domain.
Journal of Evolution Equations. Roč. 21, č. 3 (2021), s. 3421-3447. ISSN 1424-3199. E-ISSN 1424-3202
R&D Projects: GA ČR GA16-03230S; GA ČR(CZ) GA19-04243S; GA MŠMT(CZ) 7AMB16PL060
Institutional support: RVO:67985840
Keywords : low Mach number * Navier-Stokes-Fourier system
OECD category: Pure mathematics
Impact factor: 1.261, year: 2021
Method of publishing: Limited access
https://doi.org/10.1007/s00028-020-00653-3

We study the low Mach number limit of the full Navier-Stokes-Fourier system in the case of low stratification with ill-prepared initial data for the problem stated on a moving domain with a prescribed motion of the boundary. Similarly as in the case of a fixed domain, we recover as a limit the Oberback–Boussinesq system, however, we identify one additional term in the temperature equation of the limit system which is related to the motion of the domain and which is not present in the case of a fixed domain. One of the main ingredients in the proof is the properties of the Helmholtz decomposition on moving domains and the dependence of eigenvalues and eigenspaces of the Neumann Laplace operator on time.
Permanent Link: http://hdl.handle.net/11104/0325650