@article{EJP857,
author = {Christophe Bahadoran and Jozsef Fritz and Katalin Nagy},
title = {Relaxation Schemes for Interacting Exclusions},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {16},
year = {2011},
keywords = {Hyperbolic scaling, interacting exclusions, Lax entropy pairs, compensated compactness, logarithmic Sobolev inequalities, relaxation schemes.},
abstract = {We investigate the interaction of one-dimensional asymmetric exclusion processes of opposite speeds, where the exchange dynamics is combined with a creation-annihilation mechanism, and this asymmetric law is regularized by a nearest neighbor stirring of large intensity. The model admits hyperbolic (Euler) scaling, and we are interested in the hydrodynamic behavior of the system in a regime of shocks on the innite line. This work is a continuation of a previous paper by Fritz and Nagy [FN06], where this question has been left open because of the lack of a suitable logarithmic Sobolev inequality. The problem is solved by extending the method of relaxation schemes to this stochastic model, the resulting a priory bound allows us to verify compensated compactness.},
pages = {no. 8, 230-262},
issn = {1083-6489},
doi = {10.1214/EJP.v16-857},
url = {http://ejp.ejpecp.org/article/view/857}}