THE INVISCID LIMIT OF NAVIER-STOKES EQUATIONS FOR VORTEX-WAVE DATA ON R2

被引：4

作者：

Nguyen, Toan T. ^{[1
]}

Nguyen, Trinh T. ^{[1
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16803 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2019年 / 51卷 / 03期

基金：

美国国家科学基金会;

关键词：

inviscid limit; vortex-wave system; Navier-Stokes; VANISHING VISCOSITY; UNIQUENESS; VORTICITY; FLOWS;

D O I：

10.1137/19M1246602

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the inviscid limit of the incompressible Navier-Stokes equations on the whole plane R-2 for initial data having vorticity as a superposition of point vortices and a regular component. In particular, this rigorously justifies the vortex-wave system from the physical Navier-Stokes flows in the vanishing viscosity limit, a model that was introduced by Marchioro and Pulvirenti in the early 90s to describe the dynamics of point vortices in a regular ambient vorticity background. The proof rests on the previous analysis of Gallay in his derivation of the vortex-point system.

引用

页码：2575 / 2598

页数：24

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