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Local existence and blowup results for the Prandtl equations

PDE and Applied Math Seminar

Speaker: Igor Kukavica, USC
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Location: 3106 MSB
Start time: Thu, Mar 3 2016, 4:10PM

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.