An Explicit Formula for Corner Singularity Expansion of the Solutions to the Stokes Equations in a Polygon
Year: 2020
Author: Buyang Li
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 6 : pp. 900–928
Abstract
We present corner singularity expansion for the solutions of the Stokes equations in an arbitrary polygon under the stress boundary condition, with explicit expression of its singular part and quantitative estimate of its regular part. In particular, there is a countably infinite set of angles such that a corner with one of these angles would give the solution precisely one additional logarithmic singularity, whose explicit expression is found.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-IJNAM-18357
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 6 : pp. 900–928
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 29
Keywords: Corner singularity regularity Stokes equation stress boundary condition fractional Sobolev space.