Navier-Stokes equations in the whole space with an eddy viscosity

被引：1

作者：

Lewandowski, Roger ^{[1
,2
]}

机构：

[1] Univ Rennes 1, IRMAR, UMR 6625, Campus Beaulieu, F-35042 Rennes, France

[2] INRIA, Fluminance Team, Campus Beaulieu, F-35042 Rennes, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 478卷 / 02期

关键词：

Navier-Stokes equations; Eddy viscosities; Turbulent solutions; LERAY-ALPHA MODEL; WEAK SOLUTIONS; LANS-ALPHA; OSCILLATIONS; FLUID; TERMS;

D O I：

10.1016/j.jmaa.2019.05.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Navier-Stokes equations with an extra eddy viscosity term in the whole space R-3. We introduce a suitable regularized system for which we prove the existence of a regular solution defined for all time. We prove that when the regularizing parameter goes to zero, the solution of the regularized system converges to a turbulent solution of the initial system. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：698 / 742

页数：45

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