Stationary solutions in thermodynamics of stochastically forced fluids

0562773 - MÚ 2023 RIV DE eng J - Článek v odborném periodiku
Breit, D. - Feireisl, Eduard - Hofmanová, M.
Stationary solutions in thermodynamics of stochastically forced fluids.
Mathematische Annalen. Roč. 384, 3-4 (2022), s. 1127-1155. ISSN 0025-5831. E-ISSN 1432-1807
Grant CEP: GA ČR(CZ) GA21-02411S
Institucionální podpora: RVO:67985840
Klíčová slova: Navier-Stokes equations * ergodicity
Obor OECD: Pure mathematics
Impakt faktor: 1.4, rok: 2022
Způsob publikování: Open access
https://doi.org/10.1007/s00208-021-02300-9

We study the full Navier–Stokes–Fourier system governing the motion of a general viscous, heat-conducting, and compressible fluid subject to stochastic perturbation. The system is supplemented with non-homogeneous Neumann boundary conditions for the temperature and hence energetically open. We show that, in contrast with the energetically closed system, there exists a stationary solution. Our approach is based on new global-in-time estimates which rely on the non-homogeneous boundary conditions combined with estimates for the pressure.
Trvalý link: https://hdl.handle.net/11104/0334972