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Spectral and Dynamical Stability of Nonlinear Waves

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ISBN-10: 1461469945

ISBN-13: 9781461469940

Edition: 2013

Authors: Todd Kapitula, Keith Promislow

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Description:

This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory and application. The book isolates and methodically develops key ideas by working through illustrative examples that are subsequently synthesized into general principles. Many of the seminal examples of stability theory, including orbital stability of the KdV solitary wave, and asymptotic stability of viscous shocks for scalar conservation laws, are treated in a textbook fashion for the first time. It presents spectral theory from a dynamical systems and functional analytic…    
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Book details

Copyright year: 2013
Publisher: Springer New York
Publication date: 6/6/2013
Binding: Hardcover
Pages: 361
Size: 6.10" wide x 9.25" long x 0.35" tall
Weight: 1.606
Language: English