Large deviations from a macroscopic scaling limit for particle systems with Kac interaction and random potential
Mustapha Mourragui, Enza Orlandi (2007)
Annales de l'I.H.P. Probabilités et statistiques
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Mustapha Mourragui, Enza Orlandi (2007)
Annales de l'I.H.P. Probabilités et statistiques
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C. Landim, G. Panizo, H. T. Yau (2002)
Annales de l'I.H.P. Probabilités et statistiques
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Pietro Caputo, Dmitry Ioffe (2003)
Annales de l'I.H.P. Probabilités et statistiques
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Márton Balázs (2004)
Annales de l'I.H.P. Probabilités et statistiques
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J. Beltrán, C. Landim (2008)
Annales de l'I.H.P. Probabilités et statistiques
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We recover the Navier–Stokes equation as the incompressible limit of a stochastic lattice gas in which particles are allowed to jump over a mesoscopic scale. The result holds in any dimension assuming the existence of a smooth solution of the Navier–Stokes equation in a fixed time interval. The proof does not use nongradient methods or the multi-scale analysis due to the long range jumps.