Abstract
In this article, we derive explicit asymptotic formulas for the solutions of Oseen's equations in space dimension two in a channel at large Reynolds number (small viscosity ε). These formulas exhibit typical boundary layers behaviors. Suitable correctors are defined to resolve the boundary obstacle and obtain convergence results valid up to the boundary. We study also the behavior of the boundary layer when simultaneously time and the Reynolds number tend to infinity in which case the boundary layer tends to pervade the whole domain.
Recommended Citation
R. Temam and X. Wang, "Asymptotic Analysis of Oseen Equations for Small Viscosity," Applied Mathematics Letters, vol. 9, no. 2, pp. 1 - 4, Elsevier, Jan 1996.
The definitive version is available at https://doi.org/10.1016/0893-9659(96)00001-8
Department(s)
Mathematics and Statistics
Keywords and Phrases
Asymptotic Expansions; Boundary Layer; Correctors; Navier-Stokes Equations; Oseen's Equations
International Standard Serial Number (ISSN)
0893-9659
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 Elsevier, All rights reserved.
Publication Date
01 Jan 1996
Comments
National Science Foundation, Grant NSF-DMS-9400615