dc.contributor.author | Mariani, Mauro | |
dc.date.accessioned | 2012-05-31T10:19:05Z | |
dc.date.available | 2012-05-31T10:19:05Z | |
dc.date.issued | 2010 | |
dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/9310 | |
dc.language.iso | en | en |
dc.subject | Entropy functional | en |
dc.subject | Conservation laws | en |
dc.subject | Large deviations | en |
dc.subject | Stochastic PDE | en |
dc.subject.ddc | 519 | en |
dc.title | Large Deviations Principle for Stochastic Scalar Conservation Laws | en |
dc.type | Article accepté pour publication ou publié | |
dc.description.abstracten | Large deviations principles for a family of scalar 1 + 1 dimensional conservative stochastic PDEs (viscous conservation laws) are investigated, in the limit of jointly vanishing noise and viscosity. A first large deviations principle is obtained in a space of Young measures. The associated rate functional vanishes on a wide set, the so-called set of measure-valued solutions to the limiting conservation law. A second order large deviations principle is therefore investigated, however, this can be only partially proved. The second order rate functional provides a generalization for non-convex fluxes of the functional introduced by Jensen and Varadhan in a stochastic particles system setting. | en |
dc.relation.isversionofjnlname | Probability Theory and Related Fields | |
dc.relation.isversionofjnlvol | 147 | en |
dc.relation.isversionofjnlissue | 3-4 | en |
dc.relation.isversionofjnldate | 2010 | |
dc.relation.isversionofjnlpages | 607-648 | en |
dc.relation.isversionofdoi | http://dx.doi.org/10.1007/s00440-009-0218-6 | en |
dc.description.sponsorshipprivate | non | en |
dc.relation.isversionofjnlpublisher | Springer | en |
dc.subject.ddclabel | Probabilités et mathématiques appliquées | en |