Work

Lagrangian structures for the Stokes, Navier-Stokes and Euler equations

Year: 2008

Type: preprint

Abstract: We prove that the Navier-Stokes, the Euler and the Stokes equations admit a Lagrangian structure using the stochastic embedding of Lagrangian systems. These equations coincide with extremals of an explicit stochastic Lagrangian functional, i.e. they are stochastic Lagrangian systems in the sense of [Cresson-Darses, J. Math. Phys. 48, 072703 (2007]

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0811.3286

Authors: Cresson, Jacky, Darses, Sébastien

Institutions: Institut de Mécanique Céleste et de Calcul des Éphémérides, Boston University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1494400417

Cites: 11

Cited by: 1

Related to: 10