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.
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Communicated by Y. Shibata
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Kyed, M. Maximal Regularity of the Time - Periodic Linearized Navier–Stokes System. J. Math. Fluid Mech. 16, 523–538 (2014). https://doi.org/10.1007/s00021-014-0169-2
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DOI: https://doi.org/10.1007/s00021-014-0169-2