arXiv math/06117212006-11-23math.PRmath-phmath.MP

A lattice gas model for the incompressible Navier-Stokes equation

J. Beltrán, C. Landim

英文摘要：

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.

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