On Kato’s conditions for the inviscid limit of the two-dimensional stochastic Navier-Stokes equation

IF 1.2 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Mathematical Physics Pub Date : 2024-08-14 DOI:10.1063/5.0175063

Ya-guang Wang, Meng Zhao

引用次数: 0

Abstract

We study the asymptotic behavior of solutions of the two-dimensional stochastic Navier-Stokes (SNS) equation with no-slip boundary condition in the small viscosity limit. Several equivalent dissipation conditions of the Kato type are derived to ensure that the convergence from the SNS equation to the corresponding stochastic Euler equation holds in the energy space. We do not assume any smallness on the noise of the SNS equation.

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论二维随机纳维-斯托克斯方程不粘性极限的加藤条件

我们研究了具有无滑动边界条件的二维随机纳维-斯托克斯（SNS）方程在小粘度极限下的解的渐近行为。我们推导了几个加藤类型的等效耗散条件，以确保从 SNS 方程到相应随机欧拉方程的收敛在能量空间中成立。我们不假设 SNS 方程的噪声很小。

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

Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

2.20

自引率

15.40%

发文量

396

审稿时长

4.3 months

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