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

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Item Type:	Article
Type of entry:	Secondary publication
Title:	Time‐periodic Stokes equations with inhomogeneous Dirichlet boundary conditions in a half‐space
Language:	English
Date:	26 January 2024
Place of Publication:	Darmstadt
Year of primary publication:	2020
Place of primary 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:	10.26083/tuprints-00016728
Corresponding Links:	Publisher-DOI
Origin:	Secondary publication DeepGreen
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
Status:	Publisher's Version
URN:	urn:nbn:de:tuda-tuprints-167282
Additional Information:	MSC Classification: 35Q35; 35Q30; 35B10; 76D07; 76N10
Classification DDC:	500 Science and mathematics > 510 Mathematics
Divisions:	04 Department of Mathematics > Analysis
Date Deposited:	26 Jan 2024 14:09
Last Modified:	29 Jan 2024 08:40
SWORD Depositor:	Deep Green
URI:	https://tuprints.ulb.tu-darmstadt.de/id/eprint/16728
PPN:	515077437
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