A lattice gas model for the incompressible Navier-Stokes equation
Probability
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We recover the Navier-Stokes equation as the incompressible limit of a stochastic lattice gas in which particles are allowed to jump over a mesoscopic scale. The result holds in any dimension assuming the existence of a smooth solution of the Navier-Stokes equation in a fixed time interval. The proof does not use non-gradient methods or the multi-scale analysis due to the long range jumps.
Keywords
Cite
@article{arxiv.math/0611721,
title = {A lattice gas model for the incompressible Navier-Stokes equation},
author = {J. Beltrán and C. Landim},
journal= {arXiv preprint arXiv:math/0611721},
year = {2007}
}