Well-posedness and large deviations for the stochastic primitive equations in two space dimensions

Well-posedness and large deviations for the stochastic primitive equations in two space dimensions
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DOI:
10.4310/cms.2012.v10.n2.a8
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发表时间:
2012
影响因子:
1
通讯作者:
Hongjun Gao;Chengfeng Sun
Hongjun Gao;Chengfeng Sun
中科院分区:
数学4区
文献类型:
--
作者:
Hongjun Gao;Chengfeng Sun

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研究了带乘性噪声的二维本原方程。利用弱收敛方法得到了小乘性噪声在固定概率空间中解的存在唯一性和Wentzell-Freidlin型大偏差原理。
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 WentzellFreidlin type large deviation principle for small multiplicative noise by weak convergence method are obtained.