The van Dommelen and Shen singularity in the Prandtl equations
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Publication:502645
DOI10.1016/J.AIM.2016.11.013zbMATH Open1357.35058arXiv1512.07358OpenAlexW2964008533MaRDI QIDQ502645
Author name not available (Why is that?)
Publication date: 5 January 2017
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1512.07358
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