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dc.contributor.authorGubinelli, Massimiliano
dc.contributor.authorJara, Milton
dc.date.accessioned2013-05-29T13:53:45Z
dc.date.available2013-05-29T13:53:45Z
dc.date.issued2013
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11323
dc.language.isoenen
dc.subjectNoise regularizationen
dc.subjectSPDEsen
dc.subjectKardar–Parisi–Zhang equationen
dc.subject.ddc515en
dc.titleRegularization by noise and stochastic Burgers equationsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe study a generalized 1d periodic SPDE of Burgers type: ∂tu=−Aθu+∂xu2+Aθ/2ξ where θ>1/2 , −A is the 1d Laplacian, ξ is a space–time white noise and the initial condition u0 is taken to be (space) white noise. We introduce a notion of weak solution for this equation in the stationary setting. For these solutions we point out how the noise provide a regularizing effect allowing to prove existence and suitable estimates when θ>1/2 . When θ>5/4 we obtain pathwise uniqueness. We discuss the use of the same method to study different approximations of the same equation and for a model of stationary 2d stochastic Navier–Stokes evolution.en
dc.relation.isversionofjnlnameStochastic Partial Differential Equations: Analysis and Computations
dc.relation.isversionofjnlvol1
dc.relation.isversionofjnlissue2
dc.relation.isversionofjnldate2013
dc.relation.isversionofjnlpages325-350
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s40072-013-0011-5en
dc.identifier.urlsitehttp://arxiv.org/abs/1208.6551v2
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen


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