TY - JOUR
T1 - Martingale solutions for stochastic active scalar equations perturbed by non-trace class noise
AU - Zhu, Rongchan
AU - Zhu, Xiangchan
PY - 2014/6
Y1 - 2014/6
N2 - In this paper we prove the existence of martingale solutions for the 2D stochastic fractional vorticity Navier-Stokes equation driven by space-time white noise for α ∈ (1/2, 1] and the 2D stochastic quasi-geostrophic equation on T2 for α ∈ (0, 1] driven by non-trace class noise. We also cover the case driven by non-trace class multiplicative noise for all α ∈ (0, 1].
AB - In this paper we prove the existence of martingale solutions for the 2D stochastic fractional vorticity Navier-Stokes equation driven by space-time white noise for α ∈ (1/2, 1] and the 2D stochastic quasi-geostrophic equation on T2 for α ∈ (0, 1] driven by non-trace class noise. We also cover the case driven by non-trace class multiplicative noise for all α ∈ (0, 1].
KW - Martingale problem
KW - Stochastic Navier-Stokes equation
KW - Stochastic quasi-geostrophic equation
UR - http://www.scopus.com/inward/record.url?scp=84901790987&partnerID=8YFLogxK
U2 - 10.1142/S0219025714500106
DO - 10.1142/S0219025714500106
M3 - Article
AN - SCOPUS:84901790987
SN - 0219-0257
VL - 17
JO - Infinite Dimensional Analysis, Quantum Probability and Related Topics
JF - Infinite Dimensional Analysis, Quantum Probability and Related Topics
IS - 2
M1 - 1450010
ER -