On the hydrodynamic limit of a one-dimensional Ginzburg-Landau lattice model. The a priori bounds
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Publication:1823804
DOI10.1007/BF01007526zbMath0681.76089OpenAlexW1996403177MaRDI QIDQ1823804
Publication date: 1987
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01007526
nonlinear diffusion equationchemical potentialinitial stateinhomogeneous profilesimplest Ginzburg-Landau model with conservation law
Diffusion (76R50) Classical equilibrium statistical mechanics (general) (82B05) Foundations of fluid mechanics (76A02)
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Cites Work
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- On the asymptotic behaviour of Spitzer's model for evolution of one- dimensional point systems
- Time evolution of a one-dimensional point system: A note on Fritz's paper
- Hydrodynamics of the voter model
- Derivation of the hydrodynamical equation for the zero-range interaction process
- Gradient dynamics of infinite point systems
- Reaction-diffusion equations for interacting particle systems
- Decay of correlations in classical lattice models at high temperature
- Decay of correlations under Dobrushin's uniqueness condition and its applications
- One-dimensional harmonic lattice caricature of hydrodynamics: Second approximation.
- Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
- Processus de diffusion associe a certains modeles d'Ising a spins continus
- Ohrnstein—uhlenbeck process in a random potential
- Prescribing a System of Random Variables by Conditional Distributions
- On the derivation of the equations of hydrodynamics from statistical mechanics
