Asymptotic solutions of Navier-Stokes equations and topological invariants of vector fields and Liouville foliations

被引：0

作者：

V. P. Maslov

A. I. Shafarevich

机构：

[1] Higher School of Economics,

[2] Lomonosov Moscow State University,undefined

来源：

Theoretical and Mathematical Physics | 2014年 / 180卷

关键词：

hydrodynamic equation; localized vortex; topology of Liouville foliations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We construct asymptotic solutions of the Navier-Stokes equations. Such solutions describe periodic systems of localized vortices and are related to topological invariants of divergence-free vector fields on two-dimensional cylinders or tori and to the Fomenko invariants of Liouville foliations. The equations describing the evolution of a vortex system are given on a graph that is a set of trajectories of the divergence-free field or a set of Liouville tori.

引用

页码：967 / 982

页数：15

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