Abstract
The existence, uniqueness and regularity of time-periodic solutions to the Navier-Stokes equations in the three-dimensional whole space are investigated. We consider the Navier-Stokes equations with a non-zero drift term corresponding to the physical model of a fluid flow around a body that moves with a non-zero constant velocity. The existence of a strong time-periodic solution is shown for small time-periodic data. It is further shown that this solution is unique in a large class of weak solutions that can be considered physically reasonable. Finally, we establish regularity properties for any strong solution regardless of its size.
Original language | English |
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Pages (from-to) | 2909-2935 |
Number of pages | 27 |
Journal | Nonlinearity |
Volume | 27 |
Issue number | 12 |
DOIs | |
Publication status | Published - 2014 Dec 1 |
Externally published | Yes |
Keywords
- Navier-Stokes
- regularity
- strong solutions
- time-periodic
- uniqueness
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics