On a stochastic version of Prouse model in fluid dynamics
Probability
2009-09-29 v1
Abstract
A stochastic version of a modified Navier-Stokes equation (introduced by Prouse) is considered in a 3-dimensional torus. We prove existence and uniqueness of martingale solutions. A different model with the non linearity given by a power 5 of the velocity is analyzed; for the structure function of this model, some insights towards an expression similar to that obtained by the Kolmogorov 1941 theory of turbulence are presented.
Keywords
Cite
@article{arxiv.math/0611637,
title = {On a stochastic version of Prouse model in fluid dynamics},
author = {B. Ferrario and F. Flandoli},
journal= {arXiv preprint arXiv:math/0611637},
year = {2009}
}
Comments
31 pages