关于速度单方向导数的Navier-Stokes方程正则性判据的注释

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-06-21 DOI:10.1016/j.nonrwa.2025.104437

Zdenek Skalak

引用次数: 0

摘要

本文考虑了整个三维空间中不可压缩的Navier-Stokes方程。我们提出了速度的一个方向导数的正则性判据，这是对已知结果的改进。

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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A remark on the regularity criterion for the Navier–Stokes equations in terms of one directional derivative of the velocity

In this paper we consider the incompressible Navier–Stokes equations in the whole three dimensional space. We present a regularity criterion in terms of one directional derivative of the velocity, which is an improvement of known results.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.