English

Large deviation principles for the stochastic quasi-geostrophic equation

Probability 2013-05-22 v3 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.1204.6417,
  title  = {Large deviation principles for the stochastic quasi-geostrophic equation},
  author = {Wei Liu and Michael Röckner and Xiangchan Zhu},
  journal= {arXiv preprint arXiv:1204.6417},
  year   = {2013}
}

Comments

29 pages; correct some misprints and small gaps

R2 v1 2026-06-21T20:56:08.728Z