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

Celik, Aday ; Kyed, Mads (2020)
Time‐periodic Stokes equations with inhomogeneous Dirichlet boundary conditions in a half‐space.
In: Mathematical Methods in the Applied Sciences, 43 (5)
doi: 10.1002/mma.6048
Article, Bibliographie

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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.

Item Type: Article
Erschienen: 2020
Creators: Celik, Aday ; Kyed, Mads
Type of entry: Bibliographie
Title: Time‐periodic Stokes equations with inhomogeneous Dirichlet boundary conditions in a half‐space
Language: English
Date: 2020
Place of Publication: Chichester
Publisher: John Wiley & Sons
Journal or Publication Title: Mathematical Methods in the Applied Sciences
Volume of the journal: 43
Issue Number: 5
DOI: 10.1002/mma.6048
Corresponding Links:
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.

Uncontrolled Keywords: half‐space, maximal regularity, stokes problem, time‐periodic solutions
Additional Information:

MSC Classification: 35Q35; 35Q30; 35B10; 76D07; 76N10

Classification DDC: 500 Science and mathematics > 510 Mathematics
Divisions: 04 Department of Mathematics
04 Department of Mathematics > Analysis
Date Deposited: 31 Jan 2024 10:14
Last Modified: 31 Jan 2024 10:14
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