Uniform analytic solutions for fractional Navier-Stokes equations

被引：6

作者：

Lou, Zhenzhen ^{[1
,3
]}

Yang, Qixiang ^{[2
]}

He, Jianxun ^{[1
]}

He, Kaili ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[3] Qujing Normal Univ, Sch Math & Stat, Qujing 655011, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2021年 / 112卷

基金：

中国国家自然科学基金;

关键词：

Fractional Navier-Stokes equations; Fourier-Herz spaces; Uniform analyticity;

D O I：

10.1016/j.aml.2020.106784

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present the existence of the uniform analytic solution of the Cauchy problem for fractional incompressible Navier-Stokes Equations in critical Fourier-Herz spaces. The main strategies are to prove that the existence of the uniform analytic solution is equivalent to the boundedness of convolution inequality on Herz space. (c) 2020 Elsevier Ltd. All rights reserved.

引用

页数：7

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