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Article Dans Une Revue Annals of Probability Année : 2006

Euler hydrodynamics of one-dimensional attractive particle systems

Hervé Guiol
Krishnamurthi Ravishankar
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Ellen Saada
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Résumé

We 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.

Dates et versions

hal-00273608 , version 1 (15-04-2008)

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Christophe Bahadoran, Hervé Guiol, Krishnamurthi Ravishankar, Ellen Saada. Euler hydrodynamics of one-dimensional attractive particle systems. Annals of Probability, 2006, 34 (4), pp.1339-1369. ⟨hal-00273608⟩
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