Repozytorium Uniwersytetu Jagiellońskiego

Passive tracer in a flow corresponding to two-dimensional stochastic Navier-Stokes equations

Passive tracer in a flow corresponding to two-dimensional ...

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dc.contributor.author Komorowski, Tomasz pl
dc.contributor.author Peszat, Szymon [SAP14014068] pl
dc.contributor.author Szarek, Tomasz pl
dc.date.accessioned 2014-07-15T05:30:59Z
dc.date.available 2014-07-15T05:30:59Z
dc.date.issued 2013 pl
dc.identifier.issn 0951-7715 pl
dc.identifier.uri http://ruj.uj.edu.pl/xmlui/handle/item/17
dc.language eng pl
dc.title Passive tracer in a flow corresponding to two-dimensional stochastic Navier-Stokes equations pl
dc.type JournalArticle pl
dc.description.physical 1999-2026 pl
dc.abstract.en n this paper we prove the law of large numbers and central limit theorem for trajectories of a particle carried by a two-dimensional Eulerian velocity field. The field is given by a solution of a stochastic Navier–Stokes system with non-degenerate noise. The spectral gap property, with respect to the Wasserstein metric, for such a system was shown in Hairer and Mattingly (2008 Ann. Probab. 36 2050–91). In this paper we show that a similar property holds for the environment process corresponding to the Lagrangian observations of the velocity. Consequently we conclude the law of large numbers and the central limit theorem for the tracer. The proof of the central limit theorem relies on the martingale approximation of the trajectory process. pl
dc.subject.en Stochastic processes pl
dc.subject.en Partial differential equations pl
dc.subject.en Navier-Stokes equations pl
dc.description.volume 26 pl
dc.description.number 7 pl
dc.identifier.doi 10.1088/0951-7715/26/7/1999 pl
dc.identifier.eissn 1361-6544 pl
dc.title.journal Nonlinearity pl
dc.language.container eng pl
dc.affiliation Wydział Matematyki i Informatyki : Instytut Matematyki pl
dc.subtype Article pl
dc.rights.original bez licencji pl
.pointsMNiSW [2013 A]: 35


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