Temam, Roger; Wang, Xiaoming Boundary layers for Oseen’s type equation in space dimension three. (English) Zbl 0912.35125 Russ. J. Math. Phys. 5, No. 2, 227-246 (1997). Summary: We treat linearized Navier-Stokes equations of Oseen’s type with large Reynolds number and study the corresponding boundary layers. We consider the flow in a channel in three-dimensional space, extending the results previously established in [the authors, Indiana Univ. Math. J. 45, 863-916 (1996; Zbl 0881.35097)] for two-dimensional space. The results here are stronger than those in (loc. cit.): We prove results on the strong convergence in \(H^1\) and \(L^\infty\) (uniform) norms and provide a corrector which is divergence-free and matches the boundary value of the inviscid solution. Cited in 9 Documents MSC: 35Q30 Navier-Stokes equations 76D10 Boundary-layer theory, separation and reattachment, higher-order effects 76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics Keywords:linearized Navier-Stokes equations of Oseen’s type; large Reynolds number; boundary layers; flow in a channel in three-dimensional space Citations:Zbl 0881.35097 PDFBibTeX XMLCite \textit{R. Temam} and \textit{X. Wang}, Russ. J. Math. Phys. 5, No. 2, 227--246 (1997; Zbl 0912.35125)