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

Aday Celik; Mads Kyed

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arXiv · 1809.02424

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

Aday Celik·Mads Kyed

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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 optimal function spaces.

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Aday Celik, Mads Kyed. 2018-09-07. Time-periodic Stokes equations with inhomogeneous Dirichlet boundary conditions in a half-space. https://arxiv.org/abs/1809.02424

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