Abstract
Time-periodic solutions to the linearized Navier-Stokes system in the n-dimensional whole-space are investigated. For time-periodic data in L q-spaces, maximal regularity and corresponding a priori estimates for the associated time-periodic solutions are established. More specifically, a Banach space of time-periodic vector fields is identified with the property that the linearized Navier-Stokes operator maps this space homeomorphically onto the Lq-space of time-periodic data.
Original language | English |
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Pages (from-to) | 523-538 |
Number of pages | 16 |
Journal | Journal of Mathematical Fluid Mechanics |
Volume | 16 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2014 |
Externally published | Yes |
Keywords
- Maximal regularity
- Navier-Stokes
- Time-periodic
ASJC Scopus subject areas
- Mathematical Physics
- Condensed Matter Physics
- Computational Mathematics
- Applied Mathematics