Euler hydrodynamics of one-dimensional attractive particle systems
Probability
2007-05-23 v1
Abstract
We consider attractive irreducible conservative particle systems on , 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.
Cite
@article{arxiv.math/0609605,
title = {Euler hydrodynamics of one-dimensional attractive particle systems},
author = {C. Bahadoran and H. Guiol and K. Ravishankar and E. Saada},
journal= {arXiv preprint arXiv:math/0609605},
year = {2007}
}
Comments
Published 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)