Title	Stability of periodic travelling wave solutions to Korteweg-de Vries and related equations
Creator	Trichtchenko, Olga
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-06-20T15:30
Description	In this talk, we explore the simplest equation that exhibits high frequency instabilities, the fifth-order Korteweg-de Vries equation. We show how to derive the necessary condition for an instability of a perturbation of a small amplitude, periodic travelling wave solutions. We proceed by examining how these unstable perturbations change and grow in time as the underlying solution changes. We conclude by commenting on what happens with a different nonlinearity in the underlying equation.
Extent	28 minutes
Subject	Mathematics; Partial differential equations; Dynamical systems and ergodic theory; Functional analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Washington
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-12-18
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0362077
URI	http://hdl.handle.net/2429/64058
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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