Stationary solutions in thermodynamics of stochastically forced fluids
| Autor: | Martina Hofmanová, Eduard Feireisl, Dominic Breit |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
General Mathematics
Closed system Perturbation (astronomy) Motion (geometry) Mechanics 76N10 Compressible flow Physics::Fluid Dynamics Mathematics - Analysis of PDEs FOS: Mathematics 60H15 35R60 Neumann boundary condition Boundary value problem Stationary solution 35Q35 Analysis of PDEs (math.AP) Mathematics |
| Zdroj: | Mathematische Annalen. 384:1127-1155 |
| ISSN: | 1432-1807 0025-5831 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink