On the One Time-Varying Component Regularity Criteria for 3-D Navier-Stokes Equations

IF 2.2 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Mathematical Analysis Pub Date : 2024-09-05 DOI:10.1137/23m1623124

Yanlin Liu, Ping Zhang

引用次数: 0

Abstract

SIAM Journal on Mathematical Analysis, Volume 56, Issue 5, Page 6213-6231, October 2024.
Abstract. In this paper, we consider the one time-varying component regularity criteria for a local strong solution of 3-D Navier–Stokes equations. Precisely, if [math] is a piecewise [math] unit vector from [math] to [math] with finitely many jump discontinuities, we prove that if [math], then the solution [math] can be extended beyond the time [math]. Compared with the previous results J.-Y. Chemin and P. Zhang, Ann. Sci. Éc. Norm. Supér, 4 (2016), pp. 49–167 concerning one-component regularity criteria, here the unit vector [math] varies with the time variable.

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论三维纳维-斯托克斯方程的单时变分量正则准则

SIAM 数学分析期刊》，第 56 卷第 5 期，第 6213-6231 页，2024 年 10 月。摘要本文考虑了三维 Navier-Stokes 方程局部强解的一个时变分量正则准则。确切地说，如果[math]是一个从[math]到[math]的片状[math]单位向量，具有有限多个跳跃不连续，我们证明如果[math]，那么解[math]可以扩展到时间[math]之外。与之前的结果相比，J.-Y. Chemin 和 P. Zhang，Ann.Chemin and P. Zhang, Ann.Sci.Norm.Supér, 4 (2016), pp.

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来源期刊

SIAM Journal on Mathematical Analysis 数学-应用数学

CiteScore

3.30

自引率

5.00%

发文量

175

审稿时长

12 months

期刊介绍： SIAM Journal on Mathematical Analysis (SIMA) features research articles of the highest quality employing innovative analytical techniques to treat problems in the natural sciences. Every paper has content that is primarily analytical and that employs mathematical methods in such areas as partial differential equations, the calculus of variations, functional analysis, approximation theory, harmonic or wavelet analysis, or dynamical systems. Additionally, every paper relates to a model for natural phenomena in such areas as fluid mechanics, materials science, quantum mechanics, biology, mathematical physics, or to the computational analysis of such phenomena. Submission of a manuscript to a SIAM journal is representation by the author that the manuscript has not been published or submitted simultaneously for publication elsewhere. Typical papers for SIMA do not exceed 35 journal pages. Substantial deviations from this page limit require that the referees, editor, and editor-in-chief be convinced that the increased length is both required by the subject matter and justified by the quality of the paper.