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arXiv · 1512.07358

The van Dommelen and Shen singularity in the Prandtl equations

Igor Kukavica·Vlad Vicol·Fei Wang
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Abstract

In 1980, van Dommelen and Shen provided a numerical simulation that predicts the spontaneous generation of a singularity in the Prandtl boundary layer equations from a smooth initial datum, for a nontrivial Euler background. In this paper we provide a proof of this numerical conjecture by rigorously establishing the finite time blowup of the boundary layer thickness.

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Igor Kukavica, Vlad Vicol, Fei Wang. 2015-12-23. The van Dommelen and Shen singularity in the Prandtl equations. https://arxiv.org/abs/1512.07358

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