R. Esposito, R. Marra and H. T. Yau
Navier-Stokes equations for stochastic lattice gases
(105K, ps)
ABSTRACT. We discuss the diffusive limit of a class of stochastic lattice gases
on the cubic lattice ${\Bbb Z}^d$.
If the initial conditions correspond to a local equilibrium with
small deviations from a spatially constant profile, we prove the
law of large numbers for the rescaled
empirical velocity field. The limiting field satisfies
the Navier-Stokes equation and the viscosity is
characterized by variational formulas, formally equivalent
to the Green-Kubo formula.