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.
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页码：227 / 234
页数：8
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