Title	Counting unstable eigenvalues in Hamiltonian spectral problems via commuting operators
Creator	Haragus, Mariana
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-10-31T11:23
Description	We present a general counting result for the unstable eigenvalues of linear operators of the form JL in which J and L are skew- and self-adjoint operators, respectively. Assuming that there exists a self-adjoint operator K such that the operators JL and JK commute, we prove that the number of unstable eigenvalues of JL is bounded by the number of nonpositive eigenvalues of K. As an application, we discuss the transverse stability of one-dimensional periodic traveling waves in the classical KP-II (Kadomtsev-Petviashvili) equation.
Extent	35 minutes
Subject	Mathematics; Fluid mechanics; Partial differential equations; Fluid dynamics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Université de Franche-Comté
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-05-02
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0347229
URI	http://hdl.handle.net/2429/61421
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

Open Collections

BIRS Workshop Lecture Videos