A lattice gas model for the incompressible Navier–Stokes equation
Annales de l'I.H.P. Probabilités et statistiques (2008)
- Volume: 44, Issue: 5, page 886-914
- ISSN: 0246-0203
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topBeltrán, J., and Landim, C.. "A lattice gas model for the incompressible Navier–Stokes equation." Annales de l'I.H.P. Probabilités et statistiques 44.5 (2008): 886-914. <http://eudml.org/doc/77996>.
@article{Beltrán2008,
abstract = {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.},
author = {Beltrán, J., Landim, C.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {interacting particle systems; hydrodynamic limit; incompressible Navier-Stokes equation; Navier-Stokes equation; stochastic lattice gas; asymmetric exclusion process; collision process; long range jumps; relative entropy method; random dynamics generator; spectral gap},
language = {eng},
number = {5},
pages = {886-914},
publisher = {Gauthier-Villars},
title = {A lattice gas model for the incompressible Navier–Stokes equation},
url = {http://eudml.org/doc/77996},
volume = {44},
year = {2008},
}
TY - JOUR
AU - Beltrán, J.
AU - Landim, C.
TI - A lattice gas model for the incompressible Navier–Stokes equation
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2008
PB - Gauthier-Villars
VL - 44
IS - 5
SP - 886
EP - 914
AB - 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.
LA - eng
KW - interacting particle systems; hydrodynamic limit; incompressible Navier-Stokes equation; Navier-Stokes equation; stochastic lattice gas; asymmetric exclusion process; collision process; long range jumps; relative entropy method; random dynamics generator; spectral gap
UR - http://eudml.org/doc/77996
ER -
References
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- [7] H. T. Yau. Relative entropy and hydrodynamics of Ginsburg–Landau models. Lett. Math. Phys. 22 (1991) 63–80. Zbl0725.60120MR1121850
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