Title	Stability of periodic waves in Hamiltonian PDEs
Creator	Benzoni-Gavage, Sylvie
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-06-20T12:31
Description	For Hamiltonian systems of PDEs the stability of periodic waves is encoded by the Hessian of an action integral, as shown in earlier work. This talk will deal with two asymptotic regimes, namely for waves of small amplitude and for waves of long wavelength. In both cases stability criteria can be investigated analytically, thanks to the asymptotic expansions of the Hessian of the action and their special structure. The stability results thus obtained apply to various models of mathematical physics for nonlinear dispersive waves.
Extent	27 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 Lyon
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	10.14288/1.0362075
URI	http://hdl.handle.net/2429/64056
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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