Symmetries and martingales in a stochastic model for the Navier-Stokes equation
Probability
2016-02-12 v1
Abstract
A stochastic description of solutions of the Navier-Stokes equation is investigated. These solutions are represented by laws of finite dimensional semi-martingales and characterized by a weak Euler- Lagrange condition. A least action principle, related to the relative entropy, is provided. Within this stochastic framework, by assuming further symmetries, the corresponding invariances are expressed by martingales, stemming from a weak Noether's theorem.
Keywords
Cite
@article{arxiv.1602.03657,
title = {Symmetries and martingales in a stochastic model for the Navier-Stokes equation},
author = {Ana Bela Cruzeiro and Rémi Lassalle},
journal= {arXiv preprint arXiv:1602.03657},
year = {2016}
}