QUANTITATIVE ESTIMATES FOR SPACE-TIME ANALYTICITY OF SOLUTIONS TO THE FRACTIONAL NAVIER-STOKES EQUATIONS

被引：0

作者：

Wang, Cong ^{[1
]}

Gao, Yu ^{[2
]}

Xue, Xiaoping ^{[1
]}

机构：

[1] Harbin Inst Technol, Sch Math, Harbin, Peoples R China

[2] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2023年 / 22卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Critical space; mild solution; analytic radius; bootstrapping method; instantaneous regularity; SPATIAL ANALYTICITY; GEVREY REGULARITY; BEHAVIOR; BOUNDARY; DECAY;

D O I：

10.3934/cpaa.2023080

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show the optimal decay rate estimates of the space-time derivatives of solutions to the fractional Navier-Stokes equations, which yields the joint space-time analyticity. Consequently, the lower bounds on the growth rate (in time) of radius of space analyticity, time analyticity, and joint spacetime analyticity of solutions are obtained. The proofs only involve real variable methods.

引用

页码：2619 / 2645

页数：27

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