Euler hydrodynamics of one-dimensional attractive particle systems

• 成果类型: Article
• 署名作者: Bahadoran, C.; Guiol, H.; Ravishankar, K.; Saada, E.
• 署名单位: Universite Clermont Auvergne (UCA); State University of New York (SUNY) System; University at Albany, SUNY; SUNY New Paltz; Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Universite de Rouen Normandie; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117906000000115
• 发表日期: 2006
• 页码: 1339-1369
• 关键词: hyperbolic systems; exclusion process; CONSERVATION; EQUATIONS; limit

摘要

We consider attractive irreducible conservative particle systems on Z, without necessarily nearest-neighbor jumps or explicit invariant measures. We prove that for such systems, the hydrodynamic limit under Enter 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.