A variational formulation for the Navier-Stokes equation

被引：21

作者：

Gomes, DA ^{[1
]}

机构：

[1] Univ Tecn Lisboa, Dept Matemat, Inst Super Tecn, P-1049001 Lisbon, Portugal

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2005年 / 257卷 / 01期

关键词：

D O I：

10.1007/s00220-004-1263-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we prove a new variational principle for the Navier-Stokes equation which asserts that its solutions are critical points of a stochastic control problem in the group of area-preserving diffeomorphisms. This principle is a natural extension of the results by Arnold, Ebin, and Marsden concerning the Euler equation.

引用

页码：227 / 234

页数：8

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