2D constrained Navier-Stokes equations

被引：6

作者：

Brzezniak, Zdzislaw ^{[1
]}

Dhariwal, Gaurav ^{[1
,3
]}

Mariani, Mauro ^{[2
]}

机构：

[1] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

[2] Natl Res Univ, Higher Sch Econ, Fac Math, 6 Usacheva St, Moscow 119048, Russia

[3] TU Vienna, Inst Anal & Sci Comp, Wiedner Hauptstr 8, A-1040 Vienna, Austria

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年 / 264卷 / 04期

关键词：

Navier-Stokes equations; Constrained energy; Periodic boundary conditions; Gradient flow; Euler equations; MANIFOLD;

D O I：

10.1016/j.jde.2017.11.0050022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study 2D Navier-Stokes equations with a constraint forcing the conservation of the energy of the solution. We prove the existence and uniqueness of a global solution for the constrained Navier-Stokes equation on R-2 and T-2, by a fixed point argument. We also show that the solution of the constrained equation converges to the solution of the Euler equation as the viscosity nu vanishes. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：2833 / 2864

页数：32

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