Title	Sufficiently strong dispersion removes ill-posedness of truncated series models of water waves
Creator	Ambrose, David
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-11-03T09:01
Description	We have previously, in joint work with Jerry Bona, David Nicholls, and Michael Siegel, demonstrated that truncated series models of gravity water waves exhibit ill-posedness. In joint work with Shunlian Liu, we show that the addition of sufficiently strong dispersion makes such a system well-posed. Physically, this strong dispersion can be relevant, for instance, for hydroelastic waves. The proof uses techniques of paradifferential calculus.
Extent	39 minutes
Subject	Mathematics; Fluid mechanics; Partial differential equations; Fluid dynamics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Drexel University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-05-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0347315
URI	http://hdl.handle.net/2429/61512
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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