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Zero Viscosity Limit of the Oseen Equations in a Channel

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Publication:2753551
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DOI10.1137/S0036141000372015zbMath0988.35130OpenAlexW1977935000MaRDI QIDQ2753551

Marco Sammartino, Maria Carmela Lombardo

Publication date: 11 November 2001

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141000372015


zbMATH Keywords

Euler equationsboundary layerOseen equationsPrandtl equations


Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Asymptotic expansions of solutions to PDEs (35C20)


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On the Euler\(+\)Prandtl expansion for the Navier-Stokes equations ⋮ Existence and regularity results for the inviscid primitive equations with lateral periodicity ⋮ Zero viscosity limit for analytic solutions of the primitive equations ⋮ The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary ⋮ On the Prandtl boundary layer equations in presence of corner singularities ⋮ Boundary layers for the Navier-Stokes equations linearized around a stationary Euler flow ⋮ On the Navier-Stokes system with pressure boundary condition ⋮ Recent progresses in boundary layer theory



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