Lebesgue和Morrey空间中平稳Navier-Stokes方程的若干Liouville定理

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-05-01 DOI:10.1016/j.anihpc.2020.08.006

Diego Chamorro , Oscar Jarrín , Pierre-Gilles Lemarié-Rieusset

引用次数: 39

摘要

三维Navier-Stokes方程的Leray解的唯一性是一个具有挑战性的开放问题。在本文中，我们将研究在整个空间R3中的三维平稳Navier-Stokes方程的这个问题。在一些附加假设下，用Lebesgue和Morrey空间表述，我们将证明平凡解U→=0是唯一解。这类结果被称为刘维尔定理。

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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Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces

Uniqueness of Leray solutions of the 3D Navier-Stokes equations is a challenging open problem. In this article we will study this problem for the 3D stationary Navier-Stokes equations in the whole space $R^{3}$ . Under some additional hypotheses, stated in terms of Lebesgue and Morrey spaces, we will show that the trivial solution $\vec{U} = 0$ is the unique solution. This type of results are known as Liouville theorems.

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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.