Asymptotic analysis of the Stokes equations in a square at small viscosity. Issue 12 (1st December 2016)

• Record Type: Journal Article
• Authors: Gie, G.-M.; Hamouda, M.; Sboui, A.
• Is Part Of: Applicable analysis. Volume 95:Issue 12(2016)
• Page Start: 2683
• Page End: 2702
• Publication Date: 2016-12-01
• Subjects: Boundary layer theory -- Stokes equations -- correctors -- singular perturbation; 35C20 -- 35B25 -- 35K05; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2015.1105963
• Languages: English
• ISSNs: 0003-6811

Abstract

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.