On recent progress for the stochastic Navier Stokes equationsOn recent progress for the stochastic Navier Stokes equationsOn Recent Progress for the Stochastic Navier Stokes Equations

Journal Article (Academic Article)

We give an overview of the ideas central to some recent developments in the ergodic theory of the stochastically forced Navier Stokes equations and other dissipative stochastic partial differential equations. Since our desire is to make the core ideas clear, we will mostly work with a specific example: the stochastically forced Navier Stokes equations. To further clarify ideas, we will also examine in detail a toy problem. A few general theorems are given. Spatial regularity, ergodicity, exponential mixing, coupling for a SPDE, and hypoellipticity are all discussed.

Full Text

Duke Authors

Cited Authors

  • Mattingly, JC; Mattingly, JC; Mattingly, JC

Published Date

  • July 2003

Published In

  • Journées "Équations aux Dérivées Partielles"

Volume / Issue

  • XV /

Start / End Page

  • viii+298 -

Published By