2022/01/02 by Carla Victoria Valencia-Negrete, Valencia-Negrete, C. V.
Computer Science · Mathematics · #76N15 #76N20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #[2010] 35Q30
paper · pdf · doi:10.48550/arxiv.2201.00282
openalex publication_date 2022/01/02 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
Oleinik's no back-flow condition ensures the existence and uniqueness of solutions for the Prandtl equations in a rectangular domain R⊂ ℝ2. It also allowed us to find a limit formula for Dorodnitzyn's stationary compre\-ssible boundary layer with constant total energy on a bounded convex domain in the plane ℝ2. Under the same assumption, we can give an approximate solution u for the limit formula if |u|0, δ is the boundary layer's height in Dorodnitzyn's coordinates, U is the free-stream velocity at the upper boundary of the domain, and T0 is the absolute surface temperature.