ICTS:29945

Video URL

On the long-time behavior of open fluid systems (Online)

On the long-time behavior of open fluid systems (Online)

(2024). On the long-time behavior of open fluid systems (Online). SciVideos. https://youtube.com/live/OExvxQa-d4w

On the long-time behavior of open fluid systems (Online). SciVideos, Sep. 29, 2024, https://youtube.com/live/OExvxQa-d4w 

          @misc{ scivideos_ICTS:29945,
            doi = {},
            url = {https://youtube.com/live/OExvxQa-d4w},
            author = {},
            keywords = {},
            language = {en},
            title = {On the long-time behavior of open fluid systems (Online)},
            publisher = {},
            year = {2024},
            month = {sep},
            note = {ICTS:29945 see, \url{https://scivideos.org/icts-tifr/29945}}
          }
Eduard Feireisl
Talk numberICTS:29945
Source RepositoryICTS-TIFR
Source EventDeterministic and Stochastic Analysis of Euler and Navier-Stokes Equations
Collection

Abstract

We consider the complete Navier--Stokes--Fourier system governing the time evolution of a general compressible, viscous, and heat conducting fluid. The fluid motion is driven by non--conservative boundary conditions. We show that, unlike the conservative systems, the non--conservative ones admit in general a bounded absorbing set. Asymptotic compactness of global in time solutions on this set is then established. The result has several corollaries including the existence of a stationary statistical solutions, convergence of ergodic averages and convergence to equailibrium solutions for small perturbations.