Seminar series
Date
Mon, 21 Jan 2013
Time
15:45 -
16:45
Location
Oxford-Man Institute
Speaker
RONGCHAN ZHU
Organisation
Bielefeld University
In this talk we talk about 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 tothe 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.
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 tothe 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.