Communications in Mathematical Sciences
Volume 10 (2012)
Well-posedness and large deviations for the stochastic primitive equations in two space dimensions
Pages: 575 – 593
The two dimensional primitive equations with multiplicative noise are studied in this paper. The existence and uniqueness of solutions in a fixed probability space and a Wentzell- Freidlin type large deviation principle for small multiplicative noise by weak convergence method are obtained.
primitive equation, existence and uniqueness, large deviations
2010 Mathematics Subject Classification
35Qxx, 60H15, 76M35, 86A05, 86A10