Analysis and Probability Seminar

Title: Malliavin Calculus and ergodicity of the full degenerate Navier-Stokes equation
Speaker: Professor Jonathan Mattingly
Speaker Info: Duke University
Brief Description:
Special Note:

I will describe some very recent results on the ergodic theory of the stochastically forced Navier-Stokes equation under extremely degenerate forcing. I will give essentially sharp conditions which guarantee a unique invariant measure. I will explain how to use tool from Malliavin Calculus to prove that the randomness moves through out the whole system. The proof of ergodicity will make use of a generalization of the idea of Strong Feller called Asymptotic Strong Feller.
Date: Friday, October 22, 2004
Time: 3:00pm
Where: Lunt 105
Contact Person: Prof. Elton P. Hsu
Contact email: elton@math.northwestern.edu
Contact Phone: 847-491-8541
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