• Medientyp: Sonstige Veröffentlichung; E-Book; Bericht
  • Titel: On the spatially asymptotic structure of time-periodic solutions to the Navier--Stokes equations
  • Beteiligte: Eiter, Thomas [VerfasserIn]
  • Erschienen: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2020
  • Sprache: Englisch
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.2727
  • Schlagwörter: 35C20 ; 35E05 ; 35B10 ; article ; 76D05 ; Navier--Stokes -- time-periodic solutions -- asymptotic expansion -- Oseen system -- fundamental solution ; 35Q30
  • Entstehung:
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  • Beschreibung: The asymptotic behavior of weak time-periodic solutions to the Navier--Stokes equations with a drift term in the three-dimensional whole space is investigated. The velocity field is decomposed into a time-independent and a remaining part, and separate asymptotic expansions are derived for both parts and their gradients. One observes that the behavior at spatial infinity is determined by the corresponding Oseen fundamental solutions.