Existence and regularity of solutions for Stokes systems with non-smooth boundary data in a polyhedron

The Stokes problem is fundamental in the study of fluid flows. In the case of smooth domains and data, this problem is extensively studied in the literature. But there are only a few results for non-smooth boundary data. In [13], there are some promising results in the 2 dimensional case. The aim of...

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Bibliographic Details
Published inElectronic journal of differential equations Vol. 2017; no. 147; pp. 1 - 10
Main Authors Adjal, Houria, Moussaoui, Mohand, Zine, Abdelmalek
Format Journal Article
LanguageEnglish
Published Texas State University, Department of Mathematics 22.06.2017
Texas State University
Subjects
Acoustics
Analysis of PDEs
Engineering Sciences
existence and regularity
Functional Analysis
Materials
Mathematics
non smooth boundary data
Numerical Analysis
polyhedron
Reactive fluid environment
Stokes system
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Summary:The Stokes problem is fundamental in the study of fluid flows. In the case of smooth domains and data, this problem is extensively studied in the literature. But there are only a few results for non-smooth boundary data. In [13], there are some promising results in the 2 dimensional case. The aim of this work is to extend those results to a polyhedron domain with non-regular data.
ISSN:1072-6691