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Stationary solutions in thermodynamics of stochastically forced fluids
- 1.0562773 - MÚ 2023 RIV DE eng J - Journal Article
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
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : Navier-Stokes equations * ergodicity
OECD category: Pure mathematics
Impact factor: 1.4, year: 2022
Method of publishing: 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.
Permanent Link: https://hdl.handle.net/11104/0334972
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