The stochastic quasi-geostrophic equation

Stochastic Analysis Seminar Series

In this talk we discuss the 2D stochastic quasi-geostrophic equation on T2 for general parameter _ 2 (0; 1) and multiplicative noise. We prove the existence of martingale solutions and Markov selections for multiplicative noise for all _ 2 (0; 1) . In the subcritical case _ > 1=2, we prove existence and uniqueness of (probabilistically) strong solutions. We obtain the ergodicity for _ > 1=2 for degenerate noise. We also study the long time behaviour of the solutions to the 2D stochastic quasi-geostrophic equation on T2 driven by real linear multiplicative noise and additive noise in the subcritical case by proving the existence of a random attractor.

Location:
Speaker(s):

Rongchan Zhu (Univiersity of Bielefeld)

Start date:
Monday, January 21, 2013 - 15:45
End date:
Thursday, December 13, 2012 - 16:45