Advertisement

Communications in Mathematical Physics

, Volume 206, Issue 2, pp 273–288 | Cite as

Ergodicity of 2D Navier–Stokes Equations with¶Random Forcing and Large Viscosity

  • Jonathan C.  Mattingly

Abstract:

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.

Keywords

Viscosity Stationary Solution Stokes Equation Invariant Measure High Viscosity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Jonathan C.  Mattingly
    • 1
  1. 1.Program in Applied and Computational Mathematics, Princeton NJ, USAUS

Personalised recommendations