Geometric Singularities of the Stokes Problem-Reference-Cited by-同舟云学术

Geometric Singularities of the Stokes Problem

Published:2014 Issue: Volume:2014 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Chorfi Nejmeddine¹^ORCID

Affiliation:

1. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Abstract

When the domain is a polygon ofℝ2, 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.

Funder

King Saud University, Deanship of Scientific Research, College of Science Research Center

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/491326.pdf

Reference20 articles.

1. Lecture Notes in Mathematics,1988

2. Handling corner singularities by the mortar spectral element method

3. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

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