Exponential decay of the power spectrum and finite dimensionality for solutions of the three dimensional primitive equations

被引：1

作者：

Petcu, Madalina ^{[1
,2
]}

机构：

[1] Acad Romana, Inst Math, Bucharest 014700, Romania

[2] Univ Poitiers, Lab Math & Applicat, F-86962 Futuroscope, France

来源：

NUMERISCHE MATHEMATIK | 2012年 / 120卷 / 01期

关键词：

NAVIER-STOKES EQUATIONS; REGULARITY;

D O I：

10.1007/s00211-011-0405-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we estimate the number of modes, volumes and nodes, sufficient to describe well the solution of the three dimensional primitive equations; the physical meaning of these estimates is also discussed. We also study the exponential decay of the spatial power spectrum for the three dimensional primitive equations.

引用

页码：89 / 116

页数：28

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