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arXiv · 1204.6417

Large deviation principles for the stochastic quasi-geostrophic equation

Wei Liu·Michael Röckner·Xiangchan Zhu
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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.

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Wei Liu, Michael Röckner, Xiangchan Zhu. 2013-03-24. Large deviation principles for the stochastic quasi-geostrophic equation. https://doi.org/10.1016/j.spa.2013.03.020

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