en
Scientific article
Open access
English

Time Periodic Solutions of the Navier–Stokes Equations with Nonzero Constant Boundary Conditions at Infinity

Published inSIAM journal on mathematical analysis, vol. 43, no. 4, p. 1787-1809
Publication date2011
Abstract

We construct solutions for the Navier–Stokes equations in three dimensions with a time periodic force which is of compact support in a frame that moves at constant speed. These solutions are related to solutions of the problem of a body which moves within an incompressible fluid at constant speed and rotates around an axis which is aligned with the motion. In contrast to other authors who analyze stationary solutions in a frame of reference attached to the body, the analysis for the present problem is done in a frame which is moving at constant speed but is not rotating. This avoids the unpleasant unbounded linear terms which are present in a description with respect to a rotating frame.

Keywords
  • Time periodic solutions
  • Navier–Stokes
  • Moving obstacle
Citation (ISO format)
VAN BAALEN, Guillaume, WITTWER, Peter. Time Periodic Solutions of the Navier–Stokes Equations with Nonzero Constant Boundary Conditions at Infinity. In: SIAM journal on mathematical analysis, 2011, vol. 43, n° 4, p. 1787–1809. doi: 10.1137/100809842
Main files (1)
Article (Published version)
accessLevelPublic
Identifiers
ISSN of the journal0036-1410
593views
286downloads

Technical informations

Creation05/06/2014 2:05:00 PM
First validation05/06/2014 2:05:00 PM
Update time03/14/2023 9:12:04 PM
Status update03/14/2023 9:12:04 PM
Last indexation01/16/2024 9:56:33 AM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack