Title	The stability of periodic solutions of integrable equations
Creator	Deconinck, Bernard
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-07-01T16:50
Description	A surprisingly large number of physically relevant dispersive partial differential equations are integrable. Using the connection between the spectrum and the eigenfunctions of the associated Lax pair and the linear stability problem, we investigate the stability of the spatially periodic traveling wave solutions of such equations, extending the results to orbital stability in those case where solutions are linearly stable. The talk will emphasize recent results for the focusing NLS equation, as this situation is more complicated than that of other equations previously studied, for which the Lax pair is self adjoint.
Extent	47.0 minutes
Subject	Mathematics; Partial differential equations; Fourier analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Washington
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-12-29
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0387375
URI	http://hdl.handle.net/2429/73014
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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