Steady Prandtl Layers over a Moving Boundary: Non-Shear Euler flows

2017/05/16 by Iyer, Sameer
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1705.05936

Abstract

In this article we establish the validity of Prandtl layer expansions around Euler flows which are not shear. The presence of non-shear flows at the leading order creates a singularity of o((1)/(√ε)). A new y-weighted positivity estimate is developed to control this leading-order growth at the far field.

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