Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations

Kirillov, Oleg and Pelinovsky, Dmitry (2014) Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations. Wiley, London. ISBN 9781848214200

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Abstract

Bringing together 18 chapters written by leading experts in dynamical systems, operator theory, partial differential equations, and solid and fluid mechanics, this book presents state-of-the-art approaches to a wide spectrum of new and challenging stability problems.
Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations focuses on problems of spectral analysis, stability and bifurcations arising in the nonlinear partial differential equations of modern physics. Bifurcations and stability of solitary waves, geometrical optics stability analysis in hydro- and magnetohydrodynamics, and dissipation-induced instabilities are treated with the use of the theory of Krein and Pontryagin space, index theory, the theory of multi-parameter eigenvalue problems and modern asymptotic and perturbative approaches.
Each chapter contains mechanical and physical examples, and the combination of advanced material and more tutorial elements makes this book attractive for both experts and non-specialists keen to expand their knowledge on modern methods and trends in stability theory.

Item Type:	Book
Subjects:	F300 Physics F500 Astronomy F700 Ocean Sciences G100 Mathematics G400 Computer Science H200 Civil Engineering H300 Mechanical Engineering H400 Aerospace Engineering
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User:	Oleg Kirillov
Date Deposited:	06 Feb 2017 11:11
Last Modified:	06 Feb 2017 11:12
URI:	http://nrl.northumbria.ac.uk/id/eprint/29488

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