TY - JOUR
T1 - An Explicit Formula for Corner Singularity Expansion of the Solutions to the Stokes Equations in a Polygon
AU - Li , Buyang
JO - International Journal of Numerical Analysis and Modeling
VL - 6
SP - 900
EP - 928
PY - 2020
DA - 2020/10
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/18357.html
KW - Corner singularity, regularity, Stokes equation, stress boundary condition, fractional Sobolev space.
AB - <p style="text-align: justify;">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.</p>