薄域NAVIER-STOKES方程流体静力近似的最优GEVREY稳定性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-06-08 DOI:10.1017/s1474748023000282

Chao Wang, Yuxi Wang

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引用次数: 1

摘要

本文研究了薄域中Navier-Stokes系统的流体静力近似。当我们在x变量中具有最优指数$\frac｛3｝｛2｝$的Gevrey正则性和y变量中具有Sobolev正则性的凸初始数据时，我们证明了从各向异性Navier-Stokes系统到流体静力Navier-Stoke/Prandtl系统的极限。由于我们在本文中的方法与$\varepsilon$无关，通过同样的论点，我们还获得了最优Gevrey空间中流体静力Navier-Stokes/Prandtl系统的适定性。我们的结果改进了[15，35]中发现的$\frac｛9｝｛8｝$的Gevrey指数。

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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OPTIMAL GEVREY STABILITY OF HYDROSTATIC APPROXIMATION FOR THE NAVIER-STOKES EQUATIONS IN A THIN DOMAIN

In this paper, we study the hydrostatic approximation for the Navier-Stokes system in a thin domain. When we have convex initial data with Gevrey regularity of optimal index $\frac {3}{2}$ in the x variable and Sobolev regularity in the y variable, we justify the limit from the anisotropic Navier-Stokes system to the hydrostatic Navier-Stokes/Prandtl system. Due to our method in the paper being independent of $\varepsilon $ , by the same argument, we also obtain the well-posedness of the hydrostatic Navier-Stokes/Prandtl system in the optimal Gevrey space. Our results improve upon the Gevrey index of $\frac {9}{8}$ found in [15, 35].

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.