Large deviation principles for the stochastic quasi-geostrophic equation

Abstract

In this paper we establish the large deviation principle for the stochastic quasi-geostrophic equation in the subcritical case with small multiplicative noise. The proof is mainly based on the stochastic control and weak convergence approach. Some analogous results are also obtained for the small time asymptotics of the stochastic quasi-geostrophic equation.

29 pages; correct some misprints and small gaps

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