Deriving hydrodynamic equations for lattice systems

DOI10.1007/s11232-011-0144-5zbMath1274.82066OpenAlexW2037992749MaRDI QIDQ376951

Tat'yana V. Dudnikova

Publication date: 6 November 2013

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-011-0144-5

zbMATH Keywords

Cauchy problemEuler equationNavier-Stokes equationhydrodynamic limitGaussian measurerandom initial dataharmonic crystalweak convergence of measures

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Statistical mechanics of crystals (82D25) Continuum limits in quantum field theory (81T27) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (2)

Transport equation for the harmonic crystal coupled to a Klein-Gordon field ⋮ Caricature of hydrodynamics for lattice dynamics

Cites Work

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• Navier-Stokes equations for stochastic particle systems on the lattice
• One-dimensional harmonic lattice caricature of hydrodynamics
• Lattice gases, large deviations, and the incompressible Navier-Stokes equations
• Hydrodynamical limit for a Hamiltonian system with weak noise
• On two-temperature problem for harmonic crystals
• One-dimensional harmonic lattice caricature of hydrodynamics: Second approximation.
• On a Two‐Temperature Problem for the Klein–Gordon Equation
• On the convergence to statistical equilibrium for harmonic crystals
• Lattice dynamics in the half-space. Energy transport equation
• COMPLEX FOURIER--BESSEL TRANSFORMS

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