A lattice gas model for the incompressible Navier-Stokes equation

DOI10.1214/07-AIHP125zbMath1184.60035arXivmath/0611721MaRDI QIDQ731705

Claudio Landim, Johel Beltran

Publication date: 8 October 2009

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611721

zbMATH Keywords

asymmetric exclusion processNavier-Stokes equationspectral gaphydrodynamic limitinteracting particle systemsrelative entropy methodcollision processlong range jumpsrandom dynamics generatorstochastic lattice gas

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Navier-Stokes equations (35Q30) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Generation, random and stochastic difference and differential equations (37H10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Transition functions, generators and resolvents (60J35)

Related Items (3)

Hydrodynamic limit for a boundary driven stochastic lattice gas model with many conserved quantities ⋮ Dynamical large deviations for a boundary driven stochastic lattice gas model with many conserved quantities ⋮ Derivation of viscous Burgers equations from weakly asymmetric exclusion processes

Cites Work

• Navier-Stokes equations for stochastic particle systems on the lattice
• Relative entropy and hydrodynamics of Ginzburg-Landau models
• Diffusion of color in the simple exclusion process
• DIFFUSIVE LIMIT OF ASYMMETRIC SIMPLE EXCLUSION
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