Asymptotic analysis of the Stokes equations in a square at small viscosity
Gung‐Min Gie, Makram Hamouda, Abir Sboui · Applicable Analysis · 2015
Our aim in this article is to study the boundary layers appearing at small viscosity for the Stokes solutions in a square . By considering the Stokes problem in a square, we theoretically investigate the case where parabolic boundary layers are present. Using some divergence-free correctors, the asymptotic expansion of the viscous velocity solution is constructed and the uniform validity of the approximate solution is then proved.