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• W2034363082 abstract "We introduce a class of stochastic models of particles on the cubic lattice ℤ d with velocities and study the hydrodynamical limit on the diffusive spacetime scale. Assuming special initial conditions corresponding to the incompressible regime, we prove that in dimensiond≧3 there is a law of large numbers for the empirical density and the rescaled empirical velocity field. Moreover the limit fields satisfy the corresponding incompressible Navier-Stokes equations, with viscosity matrices characterized by a variational formula, formally equivalent to the Green-Kubo formula." @default.
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• W2034363082 date "1996-12-01" @default.
• W2034363082 modified "2023-10-18" @default.
• W2034363082 title "Navier-Stokes equations for stochastic particle systems on the lattice" @default.
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• W2034363082 doi "https://doi.org/10.1007/bf02517896" @default.
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