具有各向异性黏度的二维随机原始方程的鞅解

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY Esaim-Probability and Statistics Pub Date : 2022-04-20 DOI:10.1051/ps/2022006

Chengfeng Sun, Hongjun Gao, Hui Liu, Jie-qiong Zhang

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引用次数: 1

摘要

研究了具有各向异性黏度的二维随机原始方程。得到了鞅解的存在性和解的路径唯一性。该证明基于非度量空间的各向异性估计、紧性方法、紧性准则和Jakubowski版本的Skorokhod定理。

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Martingale solutions of the stochastic 2D primitive equations with anisotropic viscosity

The stochastic 2D primitive equations with anisotropic viscosity are studied in this paper. The existence of the martingale solutions and pathwise uniqueness of the solutions are obtained. The proof is based on anisotropic estimates, the compactness method, tightness criteria and the Jakubowski version of the Skorokhod Theorem for nonmetric spaces.

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来源期刊

Esaim-Probability and Statistics STATISTICS & PROBABILITY-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research and survey papers in the area of Probability and Statistics. It covers theoretical and practical aspects, in any field of these domains. Of particular interest are methodological developments with application in other scientific areas, for example Biology and Genetics, Information Theory, Finance, Bioinformatics, Random structures and Random graphs, Econometrics, Physics. Long papers are very welcome. Indeed, we intend to develop the journal in the direction of applications and to open it to various fields where random mathematical modelling is important. In particular we will call (survey) papers in these areas, in order to make the random community aware of important problems of both theoretical and practical interest. We all know that many recent fascinating developments in Probability and Statistics are coming from "the outside" and we think that ESAIM: P&S should be a good entry point for such exchanges. Of course this does not mean that the journal will be only devoted to practical aspects.