A variational formulation for the Navier-Stokes equation

Diogo Aguiar Gomes

doi:10.1007/s00220-004-1263-8

A variational formulation for the Navier-Stokes equation

Diogo Aguiar Gomes^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	227-234
Number of pages	8
Journal	Communications in Mathematical Physics
Volume	257
Issue number	1
DOIs	https://doi.org/10.1007/s00220-004-1263-8
State	Published - May 2005
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-004-1263-8

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A variational formulation for the Navier-Stokes equation

Abstract

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