Global C^∞ Regularity of the Steady Prandtl Equation

2019/12/18 by Yue Wang, Zhifei Zhang, Wang, Yue +1
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1912.08402

openalex publication_date 2019/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

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

Related

• Regularity and Expansion for Steady Prandtl Equations
• Global Well-posedness and Regularity of Weak Solutions to the Prandtl's System
• Asymptotic Behavior of the Steady Prandtl Equation
• Boundary layer separation and local behavior for the Steady Prandtl equation
• Dynamic stability for steady Prandtl solutions