Extension criterion on the 3D Navier–Stokes equations via partial components in Besov space

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-07-25 DOI:10.1016/j.nonrwa.2025.104458

Koji Kanazawa , Hideo Kozono

引用次数: 0

Abstract

We find a new extension criterion on the 3D Navier–Stokes equations in terms of horizontal derivatives of the two velocity components in Besov spaces. We shall apply our extension theorem to regularity criterion on weak solutions. Our results generalize the results in the Morrey–Campanato space and Triebel–Lizorkin space by Chen and Gala (2011) and Wei and Li (2014), respectively.

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三维Navier-Stokes方程在Besov空间的偏分量扩展准则

利用Besov空间中两个速度分量的水平导数，给出了三维Navier-Stokes方程的一个新的扩展准则。我们将推广定理应用于弱解的正则性判据。我们的结果推广了Chen和Gala（2011）在Morrey-Campanato空间和triiebel - lizorkin空间以及Wei和Li（2014）在Morrey-Campanato空间和triiebel - lizorkin空间的结果。

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

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.