以测量值为初始数据的半平面涡度方程

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-07-01 DOI:10.1016/j.anihpc.2020.10.002

Ken Abe

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引用次数: 0

摘要

考虑了半平面上具有有限测度初始涡度的二维Navier-Stokes方程，该方程具有Dirichlet边界条件。研究了具有小纯点部分测度的关联涡度方程的局部适定性和具有小总变分测度的全局适定性。我们的构造是基于与Stokes方程相关的涡度方程的解算子的l1估计。

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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The vorticity equations in a half plane with measures as initial data

We consider the two-dimensional Navier-Stokes equations subject to the Dirichlet boundary condition in a half plane for initial vorticity with finite measures. We study local well-posedness of the associated vorticity equations for measures with a small pure point part and global well-posedness for measures with a small total variation. Our construction is based on an $L^{1}$ -estimate of a solution operator for the vorticity equations associated with the Stokes equations.

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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.