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arXiv · 1904.08055

Boundary layer separation and local behavior for the Steady Prandtl equation

Weiming Shen·Yue Wang·Zhifei Zhang
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Abstract

In the case of favorable pressure gradient, Oleinik proved the global existence of classical solution for the 2-D steady Prandtl equation for a class of positive data. In the case of adverse pressure gradient, an important physical phenomena is the boundary layer separation. In this paper, we prove the boundary layer separation for a large class of Oleinik's data and confirm Goldstein's hypothesis concerning the local behavior of the solution near the separation, which gives a partial answer to open problem 5 proposed by Oleinik and Samokin in \cite{Olei}.

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Weiming Shen, Yue Wang, Zhifei Zhang. 2019-04-17. Boundary layer separation and local behavior for the Steady Prandtl equation. https://arxiv.org/abs/1904.08055

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