噪声对二维随机布尔格斯方程的影响

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2024-05-31 DOI:10.1007/s10114-024-3079-0

Zhao Dong, Jiang Lun Wu, Guo Li Zhou

引用次数: 0

摘要

通过综合利用二维伯格斯方程的几何结构和随机噪声，我们发现了具有迪里夏特边界条件的随机二维伯格斯方程解的衰减特性。因此，建立了该湍流模型的预期遍历性。

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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Noise Effect on the 2D Stochastic Burgers Equation

By comprehensive utilizing of the geometry structure of 2D Burgers equation and the stochastic noise, we find the decay properties of the solution to the stochastic 2D Burgers equation with Dirichlet boundary conditions. Consequently, the expected ergodicity for this turbulence model is established.

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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.