Maximal regularity of the time - Periodic linearized Navier-Stokes system

Mads Kyed

doi:10.1007/s00021-014-0169-2

Maximal regularity of the time - Periodic linearized Navier-Stokes system

Mads Kyed

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

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 L^q-space of time-periodic data.

Original language	English
Pages (from-to)	523-538
Number of pages	16
Journal	Journal of Mathematical Fluid Mechanics
Volume	16
Issue number	3
DOIs	https://doi.org/10.1007/s00021-014-0169-2
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

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