Electron. J. Differential Equations, Vol. 2017 (2017), No. 147, pp. 1-10.

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

Houria Adjal, Mohand Moussaoui, Abdelmalek Zine

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.

Submitted October 24, 2016. Published June 22, 2017.
Math Subject Classifications: 35Q35, 76B03, 76N10.
Key Words: Stokes system; polyhedron; non smooth boundary data; existence and regularity.

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  Houria Adjal
Laboratoire d'Analyse Non Linéaire et Histoire des Maths
E.N.S, B.P. 92 Vieux Kouba
16050 Algiers, Algeria
email: houria.adjal@yahoo.com
  Mohand Moussaoui
Laboratoire d'Analyse Non Linéaire et Histoire des Maths
E.N.S, B.P. 92 Vieux Kouba
16050 Algiers, Algeria
email: mmohand47@gmail.com
Abdelmalek Zine
Univ. Lyon, Institut Camille Jordan
Ecole centrale de Lyon
36 avenue Guy de Collonge, 69134 Ecully, France
email: abdel-malek.zine@ec-lyon.fr

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