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

Mads Kyed*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


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 languageEnglish
Pages (from-to)523-538
Number of pages16
JournalJournal of Mathematical Fluid Mechanics
Issue number3
Publication statusPublished - 2014
Externally publishedYes


  • Maximal regularity
  • Navier-Stokes
  • Time-periodic

ASJC Scopus subject areas

  • Mathematical Physics
  • Condensed Matter Physics
  • Computational Mathematics
  • Applied Mathematics


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