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One-dimensional harmonic lattice caricature of hydrodynamics: Second approximation
Authors:R. L. Dobrushin  A. Pellegrinotti  Yu. M. Suhov  L. Triolo
Affiliation:(1) Institute for Problems of Information Transmission, USSR Academy of Sciences, GSP-4, 101447 Moscow, USSR;(2) Dipartimento di Matematica, Universita' di Roma "ldquo"La Sapienza"rdquo", 00100 Rome, Italy;(3) GNFM-CNR, Italy;(4) Research Center BiBoS, Universität Bielefeld, D-4800 Bielefeld, Federal Republic of Germany;(5) Dipartimento di Metodi e Modelli Matematici, Universita' di Roma "ldquo"La Sapienza"rdquo", 00100 Rome, Italy;(6) GNFM-CNR, Italy
Abstract:The long-time behavior of an infinite chain of coupled harmonic oscillators is studied. In addition to a limiting ldquohydrodynamicrdquo (Euler-type) equation, the ldquonext approximationrdquo is investigated. The corresponding equation is derived.
Keywords:Harmonic oscillators  hydrodynamic limit  second approximation
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