BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Local existence and blowup results for the Prandtl equations Kukavica, Igor


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 nonzero Euler background flow. We provide a proof of the blowup by showing that a quantity related to the boundary layer thickness becomes infinite in a finite time. We will also briefly survey available local and global existence results. The blowup result is joint with Vlad Vicol and Fei Wang.

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