Large Deviations Principle for Stochastic Scalar Conservation Laws

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dc.creatorMariani, Mauro
dc.date2008-04-07
dc.date2009-04-06
dc.date.accessioned2026-07-07T12:59:56Z
dc.date.available2026-07-07T12:59:56Z
dc.descriptionWe investigate large deviations for a family of conservative stochastic PDEs (conservation laws) in the asymptotic of jointly vanishing noise and viscosity. We obtain a first large deviations principle 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. We therefore investigate a second order large deviations principle, thus providing a quantitative characterization of non-entropic solutions to the conservation law.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/0804.0997
dc.identifierhttp://arxiv.org/abs/0804.0997
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225727
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60H15, 60F10
dc.titleLarge Deviations Principle for Stochastic Scalar Conservation Laws
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