Math @ Duke

Publications [#13566] of Jonathan C. Mattingly
Papers Published
 J.C. Mattingly, On Recent Progress for the Stochastic Navier Stokes Equations,
Journées "Équations aux Dérivées Partielles" (ForgeslesEaux, 2003), vol. XV
(Summer, 2003),
pp. viii+298, Universit\'e de Nantes, Nantes (Held in ForgeslesEaux, June 26, 2003, The
papers are available electronically at
\url{http://www.math.sciences.univnantes.fr/edpa}.) [MR2050586(2004j:00022)], [pdf]
(last updated on 2006/01/07)
Abstract: 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.


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