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Noise prevents in finite stretching of the passive field in a stochastic vector advection equation
| dc.contributor.author | Flandoli, Franco | |
| dc.contributor.author | Maurelli, Mario | |
| dc.contributor.author | Neklyudov, Mikhail | |
| dc.date.accessioned | 2017-01-04T16:09:58Z | |
| dc.date.available | 2019-06-28T08:03:48Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | A linear stochastic vector advection equation is considered; the equation may model a passive magnetic field in a random fluid. When the driving velocity field is rough but deterministic, in particular just Hölder continuous and bounded, one can construct examples of infinite stretching of the passive field, arising from smooth initial conditions. The purpose of the paper is to prove that infinite stretching is prevented if the driving velocity field contains in addition a white noise component. | eng |
| dc.description.version | publishedVersion | eng |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2099 | |
| dc.language.iso | eng | eng |
| dc.publisher | Heidelberg : Springer | eng |
| dc.relation.doi | https://doi.org/10.1007/s00021-014-0187-0 | |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject.ddc | 510 | eng |
| dc.subject.other | Stochastic vector advection equations | eng |
| dc.subject.other | blow-up | eng |
| dc.subject.other | regularization by noise | eng |
| dc.subject.other | stochastic flows | eng |
| dc.title | Noise prevents in finite stretching of the passive field in a stochastic vector advection equation | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |