Abstract
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.
Notes
No potential conflict of interest was reported by the authors.