Geodesic
Hydrodynamic limit for a nongradient interacting particle system with stochastic reservoirs
Teoriâ veroâtnostej i ee primeneniâ, Tome 45 (2000) no. 4, pp. 694-717 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a nongradient interacting particle system whose macroscopic behavior is described by a $d$-dimensional nonlinear parabolic equation on a square with boundary conditions. Assuming that the diffusion coefficient is Lipschitz, we prove that the rescaled density field converges to a unique weak solution of the parabolic equation.
Keywords: interacting particle system, boundary value parabolic equations.
Mots-clés : hydrodynamic limit 
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     author = {C. Landim and M. Mourragui and S. Sellami},
     title = {Hydrodynamic limit for a nongradient interacting particle system with stochastic reservoirs},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {694--717},
     year = {2000},
     volume = {45},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_2000_45_4_a4/}
}
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C. Landim; M. Mourragui; S. Sellami. Hydrodynamic limit for a nongradient interacting particle system with stochastic reservoirs. Teoriâ veroâtnostej i ee primeneniâ, Tome 45 (2000) no. 4, pp. 694-717. http://geodesic.mathdoc.fr/item/TVP_2000_45_4_a4/