Stationary solutions in thermodynamics of stochastically forced fluids
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AbstractWe 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.
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1966 ◽
Vol 25
(4)
◽
pp. 705-718
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2016 ◽
Vol 9
(2)
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pp. 60-74
2021 ◽
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