Spatial decay of the vorticity field of time-periodic viscous flow past a body
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2791 | |
dc.contributor.author | Eiter, Thomas | |
dc.contributor.author | Galdi, Giovanni P. | |
dc.date.accessioned | 2022-06-30T13:24:03Z | |
dc.date.available | 2022-06-30T13:24:03Z | |
dc.date.issued | 2020 | |
dc.description.abstract | We study the asymptotic spatial behavior of the vorticity field associated to a time-periodic Navier-Stokes flow past a body in the class of weak solutions satisfying a Serrin-like condition. We show that outside the wake region the vorticity field decays pointwise at an exponential rate, uniformly in time. Moreover, decomposing it into its time-average over a period and a so-called purely periodic part, we prove that inside the wake region, the time-average has the same algebraic decay as that known for the associated steady-state problem, whereas the purely periodic part decays even faster, uniformly in time. This implies, in particular, that ``sufficiently far'' from the body, the time-periodic vorticity field behaves like the vorticity field of the corresponding steady-state problem. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9441 | |
dc.identifier.uri | https://doi.org/10.34657/8479 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2791 | |
dc.relation.hasversion | https://doi.org/10.1007/s00205-021-01690-z | |
dc.relation.issn | 2198-5855 | |
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 | |
dc.subject.other | Navier-Stokes | eng |
dc.subject.other | time-periodic solutions | eng |
dc.subject.other | vorticity field | eng |
dc.subject.other | fundamental solution | eng |
dc.subject.other | asymptotic behavior | eng |
dc.title | Spatial decay of the vorticity field of time-periodic viscous flow past a body | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 25 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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