 96229 R. Esposito, R. Marra and H. T. Yau
 NavierStokes equations for stochastic lattice gases
(105K, ps)
May 23, 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 NavierStokes equation and the viscosity is
characterized by variational formulas, formally equivalent
to the GreenKubo formula.
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