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Asymmetric attractive particle systems on Z: Hydrodynamic limit for monotone initial profiles
Authors:A. Benassi  J. P. Fouque  E. Saada  M. E. Vares
Affiliation:(1) CNRS Laboratoire de Probabilités de l'Université Paris VI, 75005 Paris, France;(2) CNRS CMAP de l'École Polytechnique, 91128 Palaiseau Cedex, France;(3) CNRS LAMS de l'Université de Rouen (URA 1378), 76134 Mont-Saint-Aignan Cedex, France;(4) IMPA, 22460 Rio de Janeiro-RJ, Brazil
Abstract:
We extend previous results on the preservation of local equilibrium for one-dimensional asymmetric attractive particle systems. The hydrodynamic behavior is studied for general monotone initial profiles.
Keywords:Attractive systems  local equilibrium  hydrodynamic equation  entropy solutions  Euler scaling
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