ON THE ENSEMBLE AVERAGE IN THE STUDY OF APPROXIMATE INERTIAL MANIFOLDS .2.

被引：4

作者：

CHAE, DH ^{[1
]}

机构：

[1] BROWN UNIV,LEFSHETZ CTR DYNAM SYST,DIV APPL MATH,PROVIDENCE,RI 02912

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1992年 / 164卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0022-247X(92)90118-W

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we obtained a new time averaged estimate of the distance between the orbit generated by solutions of 2-D Navier-Stokes equations and one of its approximate inertial manifolds in the space periodic case, using the Gevrey class regularity of the solutions in the space periodic case. This estimate is a substantial improvement of the author's previous one in the "very" high wave modes, or, physically, far in the dissipation range of turbulence. © 1992.

引用

页码：337 / 349

页数：13

共 9 条

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[Anonymous], 1983, CBMS NSF REGIONAL C

[2]

CHAE D, IN PRESS J MATH ANAL

[3]

Constantin P., 1988, CHICAGO LECTURES MAT

[4] GEVREY CLASS REGULARITY FOR THE SOLUTIONS OF THE NAVIER-STOKES EQUATIONS [J].

FOIAS, C ;

TEMAM, R .

JOURNAL OF FUNCTIONAL ANALYSIS, 1989, 87 (02) :359-369

[5]

Foias C., 1988, Mathematical Modelling and Numerical Analysis, V22, P93

[6]

FOIAS C, IN PRESS APPROXIMATE

[7]

MARION M, 1989, SIAM J NUMER ANAL, V26

[8]

TEMAM R, DYNAMICAL SYSTEMS TU

[9]

Temam R., 1988, INFINITE DIMENSIONAL

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