Title	Local existence and blowup results for the Prandtl equations
Creator	Kukavica, Igor
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-06-07T16:34
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 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.
Extent	45 minutes
Subject	Mathematics; Fluid mechanics; Partial differential equations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Southern California
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-01-31
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0340443
URI	http://hdl.handle.net/2429/60088
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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