Existence and regularity of solutions for Stokes systems with non-smooth boundary data in a polyhedron
Date
2017-06-22
Authors
Adjal, Houria
Moussaoui, Mohand
Zine, Abdelmalek
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Stokes system, Polyhedron, Non smooth boundary data, Existence and regularity
Citation
Adjal, H., Moussaoui, M., & Zine, A. (2017). Existence and regularity of solutions for Stokes systems with non-smooth boundary data in a polyhedron. <i>Electronic Journal of Differential Equations, 2017</i>(147), pp. 1-10.
Rights
Attribution 4.0 International