论二维随机纳维-斯托克斯方程不粘性极限的加藤条件

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

{"title":"论二维随机纳维-斯托克斯方程不粘性极限的加藤条件","authors":"Ya-guang Wang, Meng Zhao","doi":"10.1063/5.0175063","DOIUrl":null,"url":null,"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.","PeriodicalId":16174,"journal":{"name":"Journal of Mathematical Physics","volume":"451 1","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Kato’s conditions for the inviscid limit of the two-dimensional stochastic Navier-Stokes equation\",\"authors\":\"Ya-guang Wang, Meng Zhao\",\"doi\":\"10.1063/5.0175063\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":16174,\"journal\":{\"name\":\"Journal of Mathematical Physics\",\"volume\":\"451 1\",\"pages\":\"\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2024-08-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1063/5.0175063\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1063/5.0175063","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}

引用次数: 0

摘要

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。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

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

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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

期刊介绍： Since 1960, the Journal of Mathematical Physics (JMP) has published some of the best papers from outstanding mathematicians and physicists. JMP was the first journal in the field of mathematical physics and publishes research that connects the application of mathematics to problems in physics, as well as illustrates the development of mathematical methods for such applications and for the formulation of physical theories. The Journal of Mathematical Physics (JMP) features content in all areas of mathematical physics. Specifically, the articles focus on areas of research that illustrate the application of mathematics to problems in physics, the development of mathematical methods for such applications, and for the formulation of physical theories. The mathematics featured in the articles are written so that theoretical physicists can understand them. JMP also publishes review articles on mathematical subjects relevant to physics as well as special issues that combine manuscripts on a topic of current interest to the mathematical physics community. JMP welcomes original research of the highest quality in all active areas of mathematical physics, including the following: Partial Differential Equations Representation Theory and Algebraic Methods Many Body and Condensed Matter Physics Quantum Mechanics - General and Nonrelativistic Quantum Information and Computation Relativistic Quantum Mechanics, Quantum Field Theory, Quantum Gravity, and String Theory General Relativity and Gravitation Dynamical Systems Classical Mechanics and Classical Fields Fluids Statistical Physics Methods of Mathematical Physics.