Gevrey class regularity and exponential decay property for Navier-Stokes-α equations

被引：4

作者：

Yu, Yong-jiang ^{[1
,2
]}

Li, Kai-tai ^{[2
]}

Huang, Ai-xiang ^{[2
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Xian Jiaotong Univ, Dept Math, Xian 710049, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2007年 / 23卷 / 01期

关键词：

Gevrey class regularity; Navier-Stokes-alpha equations; exponential decay;

D O I：

10.1007/s10255-006-0348-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Navier-Stokes-alpha equations subject to the periodic boundary conditions are considered. Analyticity in time for a class of solutions taking values in a Gevrey class of functions is proven. Exponential decay of the spatial Fourier spectrum for the analytic solutions and the lower bounds on the rate defined by the exponential decay are also obtained.

引用

页码：49 / 58

页数：10

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