Asymptotic Solutions of the Navier-Stokes Equations and Systems of Stretched Vortices Filling a Three-Dimensional Volume

被引：1
作者：
Maslov, V. P. [1 ]
Shafarevich, A. I. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Moscow, Russia
来源：
MATHEMATICAL NOTES | 2012年 / 91卷 / 1-2期
基金：
俄罗斯基础研究基金会;
关键词：
Navier-Stokes equation; vortex system; stretched vortex; vortex filament; Euler equation; divergence-free vector field; Reynolds equation; Reynolds stress; BOUNDARY-LAYER; VORTEX RINGS; DISTRIBUTIONS; VICINITY; LAW;
D O I：
10.1134/S0001434612010221
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct asymptotic solutions of the Navier-Stokes equations describing periodic systems of vortex filaments entirely filling a three-dimensional volume. Such solutions are related to certain topological invariants of divergence-free vector fields on the two-dimensional torus. The equations describing the evolution of of such a structure are defined on a graph which is the set of trajectories of a divergence-free field.
引用
收藏
页码：207 / 216
页数：10
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