ON THE CONVERGENCE OF STATISTICAL SOLUTIONS OF THE 3D NAVIER-STOKES-α MODEL AS α VANISHES

被引：20

作者：

Bronzi, Anne ^{[1
]}

Rosa, Ricardo ^{[1
]}

机构：

[1] Univ Fed Rio de Janeiro, Ilha Fdn, Inst Matemat, BR-21941909 Rio De Janeiro, RJ, Brazil

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2014年 / 34卷 / 01期

关键词：

Statistical solutions; Navier-Stokes equations; Navier-Stokes-alpha model; CAMASSA-HOLM EQUATIONS; COMPACTNESS; SPECTRUM; CHANNEL; DRIVEN; FLOWS; SPACE; WEAK;

D O I：

10.3934/dcds.2014.34.19

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper statistical solutions of the 3D Navier-Stokes-alpha model with periodic boundary condition are considered. It is proved that under certain natural conditions statistical solutions of the 3D Navier-Stokes-alpha model converge to statistical solutions of the exact 3D Navier-Stokes equations as a goes to zero. The statistical solutions considered here arise as families of time-projections of measures on suitable trajectory spaces.

引用

页码：19 / 49

页数：31

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