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Structural stability of three dimensional steady Prandtl equation
Weiming Shen, Yue Wang, Tong Yang
https://arxiv.org/abs/2506.04578 https://

Structural stability of three dimensional steady Prandtl equation
The well-posedness of the three dimensional Prandtl equation is an outstanding open problem due to the appearance of the secondary flow even though there are studies on analytic and Gevrey function spaces. This problem is raised as the third open problem in the classical book by Oleinik and Samokhin [43]. This paper aims to address this open problem in the steady case by introducing a new approach to study the structural stability of background profile that includes the famous Blasius solutions…

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