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

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

引用次数: 1

Abstract

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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具有各向异性黏度的二维随机原始方程的鞅解

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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

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