Onsager relations and Eulerian hydrodynamics for systems with several conservation laws

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dc.creatorToth, Balint
dc.creatorValko, Benedek
dc.date2002-10-28
dc.date2002-11-04
dc.date.accessioned2026-07-07T04:52:25Z
dc.date.available2026-07-07T04:52:25Z
dc.descriptionWe present the derivation of the hydrodynamic limit under Eulerian scaling for a general class of one-dimensional interacting particle systems with two or more conservation laws. Following Yau's relative entropy method it turns out that in case of more than one conservation laws, in order that the system exhibit hydrodynamic behaviour, some particular identities reminiscent of Onsager's reciprocity relations must hold. We check validity of these identities for a wide class of models. It also follows that, as a general rule, the equilibrium thermodynamic entropy (as function of the densities of the conserved variables) is a globally convex Lax entropy of the hyperbolic systems of conservation laws arising as hydrodynamic limit. The Onsager relations arising in this context and its consequences seem to be novel. As concrete examples we also present a number of models modeling deposition (or domain growth) phenomena.
dc.description26 pages, 2nd version, some comments added
dc.identifierhttps://arxiv.org/abs/math/0210426
dc.identifierhttp://arxiv.org/abs/math/0210426
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65454
dc.subjectProbability
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.titleOnsager relations and Eulerian hydrodynamics for systems with several conservation laws
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