dc.contributor.author Olla, Stefano HAL ID: 18345 ORCID: 0000-0003-0845-1861 dc.contributor.author Even, Nadine dc.date.accessioned 2010-09-28T14:38:24Z dc.date.available 2010-09-28T14:38:24Z dc.date.issued 2014 dc.identifier.uri https://basepub.dauphine.fr/handle/123456789/4865 dc.language.iso en en dc.subject adiabatic boundary conditions en dc.subject entropy production en dc.subject relative entropy en dc.subject Euler equation en dc.subject hydrodynamic limit en dc.subject.ddc 519 en dc.title Hydrodynamic Limit for a Hamiltonian System with Boundary Conditions and Conservative Noise en dc.type Article accepté pour publication ou publié dc.contributor.editoruniversityother INRIA – Ecole Nationale des Ponts et Chaussées;France dc.description.abstracten We study the hyperbolic scaling limit for a chain of N coupled anharmonic oscillators. The chain is open and with the following adiabatic boundary conditions: it is attached to a wall on the left and there is a force (tension) $\tau$ acting on the right.In order to provide the system of the good ergodic properties, we perturb the Hamiltonian dynamics with random local exchanges of velocities between the particles, so that momentum and energy are locally conserved. We prove that in the macroscopic limit the distribution of the density of particles, momentum and energy converge to the solution of the Euler equations, in the smooth regime of them. en dc.relation.isversionofjnlname Archive for Rational Mechanics and Analysis dc.relation.isversionofjnlvol 213 dc.relation.isversionofjnlissue 2 dc.relation.isversionofjnldate 2014 dc.relation.isversionofjnlpages 561-585 dc.relation.isversionofdoi http://dx.doi.org/10.1007/s00205-014-0741-1 dc.identifier.urlsite http://fr.arXiv.org/abs/1009.2175 en dc.description.sponsorshipprivate non en dc.relation.isversionofjnlpublisher Springer dc.subject.ddclabel Probabilités et mathématiques appliquées en
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