Spatial behavior of solutions to the time periodic Stokes system in a three dimensional layer

Starting from solutions to the Dirichlet boundary value problem for the time-periodic Stokes system in a 3D-layer the subject of this paper is the asymptotic behavior of the velocity field and pressure for large x. For suitably decaying data the full asymptotic decomposition of the solution is const...

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Bibliographic Details
Published inJournal of Differential Equations Vol. 263; no. 10; pp. 6317 - 6346
Main Authors Pileckas, K., Specovius-Neugebauer, M.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.11.2017
Subjects
Layer domain
Spatial asymptotic behavior
Time periodic Stokes system
76D03
76D05
Spatial asymptotic behavior
35Q30
Time periodic Stokes system
Layer domain
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Summary:Starting from solutions to the Dirichlet boundary value problem for the time-periodic Stokes system in a 3D-layer the subject of this paper is the asymptotic behavior of the velocity field and pressure for large x. For suitably decaying data the full asymptotic decomposition of the solution is constructed for large x and justified by estimates for the remainder. The decay conditions for the data and the estimates for the remainder are formulated in weighted Sobolev spaces with power-type weights.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2017.07.014