Stationary solutions of the Navier-Stokes-Fourier system in planar domains with impermeable boundary

0531288 - MÚ 2021 RIV NL eng J - Článek v odborném periodiku
Ciuperca, I. S. - Feireisl, Eduard - Jai, M. - Petrov, A.
Stationary solutions of the Navier-Stokes-Fourier system in planar domains with impermeable boundary.
Journal de Mathematiques Pures et Appliquees. Roč. 140, August (2020), s. 110-138. ISSN 0021-7824. E-ISSN 1776-3371
Grant CEP: GA ČR(CZ) GA18-05974S
Institucionální podpora: RVO:67985840
Klíčová slova: Navier-Stokes-Fourier system * stationary solution * inhomogeneous boundary conditions * Trudinger–Moser inequality
Obor OECD: Pure mathematics
Impakt faktor: 2.464, rok: 2020
Způsob publikování: Omezený přístup
https://doi.org/10.1016/j.matpur.2020.06.001

The existence of weak solutions to the Navier-Stokes-Fourier system describing the stationary states of a compressible, viscous, and heat conducting fluid in bounded 2D-domains is shown under fairly general and physically relevant constitutive relations. The equation of state of a real fluid is considered, where the admissible range of density is confined to a bounded interval (hard sphere model). The transport coefficients depend on the temperature in a general way including both gases and liquids behavior. The heart of the paper are new a priori bounds resulting from Trudinger-Moser inequality.
Trvalý link: http://hdl.handle.net/11104/0309976