Abstract
In 1980, van Dommelen and Shen provided a numerical simulation that predicted 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 prove this numerical conjecture by rigorously establishing the finite time blowup of the boundary layer thickness.
Original language | English (US) |
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Pages (from-to) | 288-311 |
Number of pages | 24 |
Journal | Advances in Mathematics |
Volume | 307 |
DOIs | |
State | Published - Feb 5 2017 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- Boundary layer separation
- Prandtl equations