• Medientyp: Sonstige Veröffentlichung; E-Book; Bericht
  • Titel: On the regularity of weak solutions to time-periodic Navier--Stokes equations in exterior domains
  • Beteiligte: Eiter, Thomas [VerfasserIn]
  • Erschienen: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2022
  • Sprache: Englisch
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.2979
  • Schlagwörter: 76D03 ; 76D07 ; 76D05 ; 35Q30 ; 35B10 ; 35B65 ; article
  • Entstehung:
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  • Beschreibung: Consider the time-periodic viscous incompressible fluid flow past a body with non-zero velocity at infinity. This article gives sufficient conditions such that weak solutions to this problem are smooth. Since time-periodic solutions do not have finite kinetic energy in general, the well-known regularity results for weak solutions to the corresponding initial-value problem cannot be transferred directly. The established regularity criterion demands a certain integrability of the purely periodic part of the velocity field or its gradient, but it does not concern the time mean of these quantities.
  • Zugangsstatus: Freier Zugang