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Local existence and blowup results for the Prandtl equations
PDE & Applied Mathematics| Speaker: | Igor Kukavica, USC |
| Related Webpage: | http://www-bcf.usc.edu/~kukavica |
| Location: | 3106 MSB |
| Start time: | Thu, Mar 3 2016, 4:10PM |
Description
In 1980, van Dommelen and Shen provided a numerical simulation that
predicted generation of a singularity in the Prandtl boundary layer
equations from a smooth initial datum, for a nontrivial Euler
background flow. We will provide a proof of this conjecture by
rigorously establishing the finite time blowup of the boundary layer
thickness. We will also survey available local and global existence
results. The blowup result is joint with Vlad Vicol and Fei Wang.