A Variational Formulation for the Navier-Stokes Equation

被引：0
|
作者：
Diogo Aguiar Gomes
机构：
[1] Instituto Superior Técnico,Departamento de Matemática
来源：
Communications in Mathematical Physics | 2005年 / 257卷
关键词：
Neural Network; Statistical Physic; Complex System; Control Problem; Nonlinear Dynamics;
D O I：
暂无
中图分类号：
学科分类号：
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：7
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