Geometric Singularities of the Stokes Problem

When the domain is a polygon of ℝ2, the solution of a partial differential equation is written as a sum of a regular part and a linear combination of singular functions. The purpose of this paper is to present explicitly the singular functions of Stokes problem. We prove the Kondratiev method in the...

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Main Author:	Nejmeddine Chorfi
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2014/491326

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spelling	doaj-98559b851b1d420ab823f1be393d68572020-11-24T23:26:23ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/491326491326Geometric Singularities of the Stokes ProblemNejmeddine Chorfi0Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWhen the domain is a polygon of ℝ2, the solution of a partial differential equation is written as a sum of a regular part and a linear combination of singular functions. The purpose of this paper is to present explicitly the singular functions of Stokes problem. We prove the Kondratiev method in the case of the crack. We finish by giving some regularity results.http://dx.doi.org/10.1155/2014/491326
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Nejmeddine Chorfi
spellingShingle	Nejmeddine Chorfi Geometric Singularities of the Stokes Problem Abstract and Applied Analysis
author_facet	Nejmeddine Chorfi
author_sort	Nejmeddine Chorfi
title	Geometric Singularities of the Stokes Problem
title_short	Geometric Singularities of the Stokes Problem
title_full	Geometric Singularities of the Stokes Problem
title_fullStr	Geometric Singularities of the Stokes Problem
title_full_unstemmed	Geometric Singularities of the Stokes Problem
title_sort	geometric singularities of the stokes problem
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2014-01-01
description	When the domain is a polygon of ℝ2, the solution of a partial differential equation is written as a sum of a regular part and a linear combination of singular functions. The purpose of this paper is to present explicitly the singular functions of Stokes problem. We prove the Kondratiev method in the case of the crack. We finish by giving some regularity results.
url	http://dx.doi.org/10.1155/2014/491326
work_keys_str_mv	AT nejmeddinechorfi geometricsingularitiesofthestokesproblem
_version_	1725555439969501184

Geometric Singularities of the Stokes Problem

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