96-225 R. Esposito, R. Marra and H.T. Yau

Navier-Stokes equations for stochastic lattice gases (105K, ps) May 22, 96

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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.

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