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Lattice Gases, Large Deviations, and the Incompressible Navier-Stokes Equations

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/(sici)1097-0312(199702)50:2<149::aid-cpa2>3.0.co;2-copenalex-snapshot
First-order correction for the hydrodynamic limit of asymmetric simple exclusion processes in dimensiond ? 3
inferredcites →https://doi.org/10.1002/cpa.3160080206openalex-snapshot
On the derivation of the equations of hydrodynamics from statistical mechanics
inferredcites →https://doi.org/10.1002/cpa.3160320502openalex-snapshot
The fluid‐dynamical limit of a nonlinear model boltzmann equation
inferredcites →https://doi.org/10.1002/cpa.3160330506openalex-snapshot
The fluid dynamic limit of the nonlinear boltzmann equation
inferredcites →https://doi.org/10.1002/cpa.3160420303openalex-snapshot
Large deviations from a hydrodynamic scaling limit
inferredcites →https://doi.org/10.1002/cpa.3160420810openalex-snapshot
Incompressible navier‐stokes and euler limits of the boltzmann equation
inferredcites →https://doi.org/10.1002/cpa.3160450602openalex-snapshot
Diffusion of color in the simple exclusion process
inferredcites →https://doi.org/10.1007/978-3-642-84371-6openalex-snapshot
Large Scale Dynamics of Interacting Particles
inferredcites →https://doi.org/10.1007/bf01218476openalex-snapshot
Nonlinear diffusion limit for a system with nearest neighbor interactions
inferredcites →https://doi.org/10.1007/bf02096727openalex-snapshot
Hydrodynamical limit for a Hamiltonian system with weak noise
inferredcites →https://doi.org/10.1007/bf02098489openalex-snapshot
Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
inferredcites →https://doi.org/10.1007/bf02101009openalex-snapshot
Logarithmic Sobolev inequality for lattice gases with mixing conditions
inferredcites →https://doi.org/10.1007/bf02547354openalex-snapshot
Sur le mouvement d'un liquide visqueux emplissant l'espace
inferredcites →https://doi.org/10.1007/bfb0086457openalex-snapshot
Mathematical Methods for Hydrodynamic Limits
inferredcites →https://doi.org/10.1017/cbo9781107049949.052openalex-snapshot
Sums of independent random variables
inferredcites →https://doi.org/10.1142/s0129055x94000444openalex-snapshot
DIFFUSIVE LIMIT OF ASYMMETRIC SIMPLE EXCLUSION
inferredcites →https://doi.org/10.2307/1971423openalex-snapshot
On the Cauchy Problem for Boltzmann Equations: Global Existence and Weak Stability

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4799790openalex-extracted
A Minimalist Idea for Solving the Navier-Stokes Equation – Insights from a Physical Point of View
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The porous medium equation: Large deviations and gradient flow with degenerate and unbounded diffusion
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SPDE in hydrodynamic : recent progress and prospects : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, August 29-September 3, 2005
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Some Methods of Infinite Dimensional Analysis in Hydrodynamics: An Introduction
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Hydrodynamic Limit of Reversible Nongradient Systems
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Diffusive behavior of asymmetric zero-range processes
inferred← citeshttps://doi.org/10.1007/s00030-009-0023-zopenalex-snapshot
Large deviations for the stochastic shell model of turbulence
inferred← citeshttps://doi.org/10.1007/s00220-004-1103-xopenalex-snapshot
Derivation of the Leroux System as the Hydrodynamic Limit of a Two-Component Lattice Gas
inferred← citeshttps://doi.org/10.1007/s00220-008-0636-9openalex-snapshot
Local Semicircle Law and Complete Delocalization for Wigner Random Matrices
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The Navier–Stokes limit of the Boltzmann equation for bounded collision kernels
inferred← citeshttps://doi.org/10.1007/s00222-015-0593-9openalex-snapshot
The Brownian motion as the limit of a deterministic system of hard-spheres
inferred← citeshttps://doi.org/10.1007/s00222-023-01207-3openalex-snapshot
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift
inferred← citeshttps://doi.org/10.1007/s10955-005-4297-1openalex-snapshot
Superdiffusivity of Two Dimensional Lattice Gas Models
inferred← citeshttps://doi.org/10.1007/s10955-010-9932-9openalex-snapshot
Hydrodynamic Limit for a Boundary Driven Stochastic Lattice Gas Model with Many Conserved Quantities
inferred← citeshttps://doi.org/10.1007/s10955-010-9957-0openalex-snapshot
Dynamical Large Deviations for a Boundary Driven Stochastic Lattice Gas Model with Many Conserved Quantities
inferred← citeshttps://doi.org/10.1007/s11232-011-0144-5openalex-snapshot
Deriving hydrodynamic equations for lattice systems
inferred← citeshttps://doi.org/10.1007/s40072-025-00405-9openalex-snapshot
Probabilistic approaches to the energy equality in forced surface Quasi-Geostrophic equations
inferred← citeshttps://doi.org/10.1016/j.physd.2007.11.023openalex-snapshot
From Boltzmann’s kinetic theory to Euler’s equations
inferred← citeshttps://doi.org/10.1016/j.physd.2008.02.005openalex-snapshot
Dissipative anomalies in singular Euler flows
inferred← citeshttps://doi.org/10.1016/j.physd.2008.11.011openalex-snapshot
Stochastic least-action principle for the incompressible Navier–Stokes equation
inferred← citeshttps://doi.org/10.1016/s0012-9593(03)00010-7openalex-snapshot
From the BGK model to the Navier–Stokes equations
inferred← citeshttps://doi.org/10.1016/s1874-5792(02)80004-0openalex-snapshot
A Review of Mathematical Topics in Collisional Kinetic Theory
inferred← citeshttps://doi.org/10.1016/s1874-5792(02)80005-2openalex-snapshot
General Presentation
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Cauchy Problem
inferred← citeshttps://doi.org/10.1016/s1874-5792(02)80007-6openalex-snapshot
H Theorem and Trend to Equilibrium
inferred← citeshttps://doi.org/10.1016/s1874-5792(02)80008-8openalex-snapshot
Maxwell Collisions
inferred← citeshttps://doi.org/10.1016/s1874-5792(02)80009-xopenalex-snapshot
Open Problems and New Trends
inferred← citeshttps://doi.org/10.1016/s1874-5792(05)80004-7openalex-snapshot
From Particles to Fluids
inferred← citeshttps://doi.org/10.1023/a:1004618924291openalex-snapshot
Navier–Stokes Limit for a Thermal Stochastic Lattice Gas
inferred← citeshttps://doi.org/10.1023/a:1012219607758openalex-snapshot
The Hydrodynamic Limit of a Deterministic Particle System with Conservation of Mass and Momentum
inferred← citeshttps://doi.org/10.1063/1.870097openalex-snapshot
On the derivation of hydrodynamics from the Boltzmann equation
inferred← citeshttps://doi.org/10.1080/00411450008205875openalex-snapshot
From reactive lattice gas automaton rules to its partial differential equations
inferred← citeshttps://doi.org/10.1088/0031-8949/83/04/045601openalex-snapshot
Statistical derivation of modified hydrodynamic equations for nanotube flows
inferred← citeshttps://doi.org/10.1088/0305-4470/35/41/104openalex-snapshot
Fluctuations in the lattice gas for Burgers' equation
inferred← citeshttps://doi.org/10.1088/1361-6544/adf605openalex-snapshot
Space-time statistical solutions of the incompressible Euler equations and Landau-Lifshitz fluctuating hydrodynamics
inferred← citeshttps://doi.org/10.1090/bull/1650openalex-snapshot
From Newton to Navier–Stokes, or how to connect fluid mechanics equations from microscopic to macroscopic scales
inferred← citeshttps://doi.org/10.1103/physreve.105.065113openalex-snapshot
Dissipation-range fluid turbulence and thermal noise
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Caricature of Hydrodynamics for the Harmonic Crystal Coupled to a Klein–Gordon Field
inferred← citeshttps://doi.org/10.1134/s2070046612040012openalex-snapshot
Caricature of hydrodynamics for lattice dynamics
inferred← citeshttps://doi.org/10.1214/20-aihp1075openalex-snapshot
Derivation of viscous Burgers equations from weakly asymmetric exclusion processes
inferred← citeshttps://doi.org/10.1214/24-ejp1225openalex-snapshot
Incompressible limit for weakly asymmetric simple exclusion processes coupled through collision
inferred← citeshttps://doi.org/10.1214/ejp.v15-768openalex-snapshot
Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation
inferred← citeshttps://doi.org/10.29172/24d2edc1-911e-428d-b58d-d7a815949b4copenalex-snapshot
Asymmetric simple exclusion process
inferred← citeshttps://doi.org/10.2969/aspm/03910143openalex-snapshot
Entropy Pairs and Compensated Compactness for Weakly Asymmetric Systems
inferred← citeshttps://doi.org/10.3934/mine.2023001openalex-snapshot
Large deviations for a binary collision model: energy evaporation
inferred← citeshttps://doi.org/10.4007/annals.2004.159.377openalex-snapshot
(logt)2∕3law of the two dimensional asymmetric simple exclusion process
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Convex integration and phenomenologies in turbulence
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Вывод гидродинамических уравнений для решетчатых систем
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The Brownian motion as the limit of a deterministic system of hard-spheres
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