Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations
Résumé
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 & 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 make this book attractive for both experts and non-specialists keen to expand their knowledge on modern methods and trends in stability theory. List of authors Anatoly Anikin, Davide Bigoni, Jean-Francois Bony, Radomir Bosak, Richard Cushman, Olivier Doare, Sergey Dobrokhotov, Nir Dror, Setsuro Fujiie, Yasuhide Fukumoto, George Hagstrom, Makoto Hirota, Igor Hoveijn, Oleg Kirillov, Richard Kollar, Paolo Luzzatto-Fegiz, Boris Malomed, Sherwin Maslowe, Philip Morrison, Youichi Mie, Diego Misseroni, Francis Nier, Giovanni Noselli, Michael Overton, Dmitry Pelinovsky, Thierry Ramond, Jonathan Robbins, Dmitrii Sadovskii, Emanuele Tassi, Cesare Tronci, Charles Williamson, Zensho Yoshida, Daniele Zaccaria, Mather Zerzeri