The van Dommelen and Shen singularity in the Prandtl equations
Analysis of PDEs
2015-12-24 v1
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.
Keywords
Cite
@article{arxiv.1512.07358,
title = {The van Dommelen and Shen singularity in the Prandtl equations},
author = {Igor Kukavica and Vlad Vicol and Fei Wang},
journal= {arXiv preprint arXiv:1512.07358},
year = {2015}
}