The time-periodic Stokes problem in a half-space with fully inhomogeneous right-hand side is investigated. Maximal regularity in a time-periodic Lp setting is established. A method based on Fourier multipliers is employed that leads to a decomposition of the solution into a steady-state and a purely oscillatory part in order to identify the suitable function spaces.
|Number of pages||17|
|Journal||Mathematical Methods in the Applied Sciences|
|Publication status||Published - 2020 Mar 30|
- maximal regularity
- stokes problem
- time-periodic solutions
ASJC Scopus subject areas