Stationary solutions in thermodynamics of stochastically forced fluids

Dominic Breit, Eduard Feireisl, Martina Hofmanová

Research output: Contribution to journalArticlepeer-review

3 Downloads (Pure)

Abstract

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.
Original languageEnglish
JournalMathematische Annalen
Early online date19 Nov 2021
DOIs
Publication statusE-pub ahead of print - 19 Nov 2021

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint

Dive into the research topics of 'Stationary solutions in thermodynamics of stochastically forced fluids'. Together they form a unique fingerprint.

Cite this