STANFORD UNIVERSITY
PROBABILITY & STOCHASTIC PROCESSES SEMINAR

4:15 p.m., Monday, November 15, 1999
Sequoia Hall, Room 200
Cookies at 4:00 p.m., 1st Floor Lounge

Jonathan Christopher Mattingly
Mathematics Department, Stanford

	   Ergodicity of the 2-Dim Navier Stokes Equations:
	      Random contractions, random attractors, and   
		   coupling in infinite dimensions.


Abstract.

Ergodicity for a Markov process with an infinite dimensional
phase-space is a delicate question. In general little is known. The 2D
Navier Stokes equations can be viewed as an infinite collection of
coupled diffusions. I will discuss some conditions under which we know
the system has a unique invariant measure. The mechanism for this
uniqueness is different in different regimes. Along our journey, we
will visit compositions of random contractions, random attractors,
diffusions with infinite memory, and coupling in the infinite
dimensional context.




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Titles of Probability and Stochastic Processes seminars can be accessed
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