Remarks on local regularity of axisymmetric solutions to the 3D Navier–Stokes equations

IF 2.1 2区数学 Q1 MATHEMATICS

Communications in Partial Differential Equations Pub Date : 2022-01-05 DOI:10.1080/03605302.2022.2070854

Hui Chen, Tai-Peng Tsai, Ting Zhang

引用次数: 7

Abstract

Abstract In this article, a new local regularity criterion for the axisymmetric solutions to the 3D Navier–Stokes equations is investigated. It is slightly supercritical and implies an upper bound for the oscillation of for any there exists a constant c > 0,

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关于三维Navier-Stokes方程轴对称解的局部正则性的注记

摘要本文研究了三维Navier-Stokes方程轴对称解的一个新的局部正则性准则。它是稍微超临界的，并且暗示了对于任何存在常数c的振荡的上界 > 0，

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

Communications in Partial Differential Equations 数学-数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.