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

Aday Celik; Mads Kyed

doi:10.1002/mma.6048

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

Aday Celik, Mads Kyed^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The time-periodic Stokes problem in a half-space with fully inhomogeneous right-hand side is investigated. Maximal regularity in a time-periodic L^p 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.

Original language	English
Pages (from-to)	2369-2385
Number of pages	17
Journal	Mathematical Methods in the Applied Sciences
Volume	43
Issue number	5
DOIs	https://doi.org/10.1002/mma.6048
Publication status	Published - 2020 Mar 30
Externally published	Yes

Keywords

half-space
maximal regularity
stokes problem
time-periodic solutions

ASJC Scopus subject areas

Mathematics(all)
Engineering(all)

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10.1002/mma.6048

Cite this

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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 suitable function spaces.",

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AU - Kyed, Mads

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N2 - 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.

AB - 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.

KW - half-space

KW - maximal regularity

KW - stokes problem

KW - time-periodic solutions

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

Abstract

Keywords

ASJC Scopus subject areas

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