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Relaxation Schemes for Interacting Exclusions

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Relaxation Schemes for Interacting Exclusions
2.	Creator	Author's name, affiliation, country	Christophe Bahadoran; Universite Blaise Pascal Clermont-Ferrand; France
2.	Creator	Author's name, affiliation, country	Jozsef Fritz; Budapest University of Technology and Economics; Hungary
2.	Creator	Author's name, affiliation, country	Katalin Nagy; Budapest University of Technology and Economics; Hungary
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Hyperbolic scaling, interacting exclusions, Lax entropy pairs, compensated compactness, logarithmic Sobolev inequalities, relaxation schemes.
3.	Subject	Subject classification	60K31; 82C22
4.	Description	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.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	ANR grant BLAN07- 2184264, Hungarian Science Foundation Grants TS49835 and K60708, European Science Foundation Project RDSES, Hungarian - French Grant HP:FR-8/08.
7.	Date	(YYYY-MM-DD)	2011-01-25
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/857
10.	Identifier	Digital Object Identifier	10.1214/EJP.v16-857
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 16
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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