Navier - Stokes equations for stochastic lattice
نویسنده
چکیده
We discuss the diiusive limit of a class of stochastic lattice gases on the cubic lattice Z d. If the initial conditions correspond to a local equilibrium with small deviations from a spatially constant proole, we prove the law of large numbers for the rescaled empirical velocity eld. The limiting eld satisses the Navier-Stokes equation and the viscosity is characterized by variational formulas, formally equivalent to the Green-Kubo formula.
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