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Time‐periodic Stokes equations with inhomogeneous Dirichlet boundary conditions in a half‐space

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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… Click to show full abstract

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.

Keywords: time; half space; periodic stokes; stokes equations; time periodic

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019

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