On the Steady Prandtl Boundary Layer Expansions

Abstract

In this paper, we consider the zero-viscosity limit of the 2D steady Navier-Stokes equations in $(0,L)\times {\mathbb{R}}^{+}$ with non-slip boundary conditions. By estimating the stream-function of the remainder, we justify the validity of the Prandtl boundary layer expansions.

References in corpus (2)

• On the ill-posedness of the Prandtl equation
• On the ill-posedness of the Prandtl equations in three space dimensions

Cited by in corpus (4)

• Global-in-$x$ Stability of Steady Prandtl Expansions for 2D Navier-Stokes Flows
• Boundary Layer Expansions for the Stationary Navier-Stokes Equations
• Remarks on the Steady Prandtl Boundary Layer Expansions
• Validity of Prandtl layer theory for steady magnetohydrodynamics over a moving plate with nonshear outer ideal MHD flows