The rotating Navier-Stokes-Fourier-Poisson system on thin domains

0493687 - MÚ 2019 RIV NL eng J - Journal Article
Ducomet, B. - Caggio, Matteo - Nečasová, Šárka - Pokorný, M.
The rotating Navier-Stokes-Fourier-Poisson system on thin domains.
Asymptotic Analysis. Roč. 109, 3-4 (2018), s. 111-141. ISSN 0921-7134. E-ISSN 1875-8576
R&D Projects: GA ČR GA16-03230S
Institutional support: RVO:67985840
Keywords : Navier-Stokes-Fourier-Poisson system * weak solution * entropy
OECD category: Pure mathematics
Impact factor: 0.808, year: 2018
https://content.iospress.com/articles/asymptotic-analysis/asy1472

We consider the compressible Navier-Stokes-Fourier-Poisson system describing the motion of a viscous heat conducting rotating fluid confined to a straight layer ...(0,ϵ), where \omega is a 2-D domain. The aim of this paper is to show that the weak solutions in the 3-D domain converge to the strong solution of the 2-D Navier-Stokes-Fourier-Poisson system on ... on the time interval, where the strong solution exists. We consider two different regimes in dependence on the asymptotic behaviour of the Froude number.
Permanent Link: http://hdl.handle.net/11104/0287017