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Geometric Singularities of the Stokes Problem

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  • Nejmeddine Chorfi

Abstract

When the domain is a polygon of , 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.

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  • Nejmeddine Chorfi, 2014. "Geometric Singularities of the Stokes Problem," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, January.
    • Handle: RePEc:hin:jnlaaa:491326
    DOI: 10.1155/2014/491326
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    Cited by:

    1. Viktor A. Rukavishnikov & Alexey V. Rukavishnikov, 2022. "On the Properties of Operators of the Stokes Problem with Corner Singularity in Nonsymmetric Variational Formulation," Mathematics, MDPI, vol. 10(6), pages 1-32, March.

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