Euler hydrodynamics of one-dimensional attractive particle systems

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dc.creatorBahadoran, C.
dc.creatorGuiol, H.
dc.creatorRavishankar, K.
dc.creatorSaada, E.
dc.date2006-09-21
dc.date.accessioned2026-07-07T07:25:05Z
dc.date.available2026-07-07T07:25:05Z
dc.descriptionWe consider attractive irreducible conservative particle systems on $\mathbb{Z}$, without necessarily nearest-neighbor jumps or explicit invariant measures. We prove that for such systems, the hydrodynamic limit under Euler time scaling exists and is given by the entropy solution to some scalar conservation law with Lipschitz-continuous flux. Our approach is a generalization of Bahadoran et al. [Stochastic Process. Appl. 99 (2002) 1--30], from which we relax the assumption that the process has explicit invariant measures.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117906000000115 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0609605
dc.identifierhttp://arxiv.org/abs/math/0609605
dc.identifierAnnals of Probability 2006, Vol. 34, No. 4, 1339-1369
dc.identifierdoi:10.1214/009117906000000115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116607
dc.subjectProbability
dc.subject60K35 (Primary) 82C22 (Secondary)
dc.titleEuler hydrodynamics of one-dimensional attractive particle systems
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