Global $C^{\infty }$ Regularity of the Steady Prandtl Equation

Abstract

In this paper, we prove the global $C^{\infty }$ regularity of the Oleinik's solution for the steady Prandtl equation with favorable pressure.

arXiv comment13 pages

References in corpus (2)

• Boundary layer separation and local behavior for the Steady Prandtl equation
• Regularity and Expansion for Steady Prandtl Equations

Cited by in corpus (2)

• Global-in-$x$ Stability of Steady Prandtl Expansions for 2D Navier-Stokes Flows
• Boundary Layer Expansions for the Stationary Navier-Stokes Equations