Publications [#40619] of Jonathan C. Mattingly

Papers Published

1. Mattingly, Jonathan C. and Suidan, Toufic M., The small scales of the stochastic Navier-Stokes equations under rough forcing, Journal of Statistical Physics, vol. 118 no. 1-2 (2005), pp. 343--364 (ISSN: 0022-4715.) [MR2122959], [math-ph/0408060]
   (last updated on 2005/09/02)

   Abstract:
   We prove the small scale structure of the stochastically forced Navier Stokes equations converge to those of the naturally associated Ornstien-Uhlenbeck process as the scale is taken to zero. In addition, we prove that the Navier Stokes equations with su cient hyperviscosity and its natural Ornstien-Uhlenbeck process induce equivalent measures on path space. This gives a simple proof of unique ergodicity for the hyperviscous Navier Stokes system.