Exponential Mixing of the 2D Stochastic Navier-Stokes Dynamics
Bricmont, J. ; Kupiainen, A. ; Lefevere, R.
arXiv, 0010028 / Harvested from arXiv
Text on arXiv
We consider the Navier-Stokes equation on a two dimensional torus with a random force which is white noise in time, and excites only a finite number of modes. The number of excited modes depends on the viscosity $\nu$, and grows like $\nu^{-3}$ when $\nu$ goes to zero. We prove that this Markov process has a unique invariant measure and is exponentially mixing in time.
Publié le : 2000-10-20
Classification:  Mathematical Physics,  Nonlinear Sciences - Chaotic Dynamics 
@article{0010028,
     author = {Bricmont, J. and Kupiainen, A. and Lefevere, R.},
     title = {Exponential Mixing of the 2D Stochastic Navier-Stokes Dynamics},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0010028}
}

Bricmont, J.; Kupiainen, A.; Lefevere, R. Exponential Mixing of the 2D Stochastic Navier-Stokes Dynamics. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0010028/