Ergodicity of 2D Navier-Stokes equations with random forcing and large viscosity


Journal Article

The stochastically forced, two-dimensional, incompressable Navier-Stokes equations are shown to possess an unique invariant measure if the viscosity is taken large enough. This result follows from a stronger result showing that at high viscosity there is a unique stationary solution which attracts solutions started from arbitrary initial conditions. That is to say, the system has a trivial random attractor. Along the way, results controling the expectation and averaging time of the energy and enstrophy are given.

Full Text

Duke Authors

Cited Authors

  • Mattingly, JC

Published Date

  • January 1, 1999

Published In

Volume / Issue

  • 206 / 2

Start / End Page

  • 273 - 288

International Standard Serial Number (ISSN)

  • 0010-3616

Digital Object Identifier (DOI)

  • 10.1007/s002200050706

Citation Source

  • Scopus