A lattice gas model for the incompressible Navier–Stokes equation
Beltrán, J. ; Landim, C.
Ann. Inst. H. Poincaré Probab. Statist., Tome 44 (2008) no. 2, p. 886-914 / Harvested from Project Euclid
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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.
Publié le : 2008-10-15
Classification:  Interacting particle systems,  Hydrodynamic limit,  Incompressible Navier-Stokes equation,  60K35,  82C22 
@article{1222261917,
     author = {Beltr\'an, J. and Landim, C.},
     title = {A lattice gas model for the incompressible Navier--Stokes equation},
     journal = {Ann. Inst. H. Poincar\'e Probab. Statist.},
     volume = {44},
     number = {2},
     year = {2008},
     pages = { 886-914},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1222261917}
}

Beltrán, J.; Landim, C. A lattice gas model for the incompressible Navier–Stokes equation. Ann. Inst. H. Poincaré Probab. Statist., Tome 44 (2008) no. 2, pp.  886-914. http://gdmltest.u-ga.fr/item/1222261917/