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

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.

Keywords

• Stokes system
• polyhedron
• non smooth boundary data
• existence and regularity