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.
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页码：698 / 742
页数：45
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