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

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

Abstract

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

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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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

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