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Dynamics of Partial Differential Equations Paperback - 2015
by Wayne, C. Eugene (Author)/ Weinstein, Michael I. (Author)
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Details
- Title Dynamics of Partial Differential Equations
- Author Wayne, C. Eugene (Author)/ Weinstein, Michael I. (Author)
- Binding Paperback
- Condition New
- Pages 79
- Volumes 1
- Language ENG
- Publisher Springer
- Publication date 2015
- Bookseller's Inventory # __331919934X
- ISBN 9783319199344 / 331919934X
- Weight 1 lbs (0.45 kg)
- Category Mathematics
- Dewey Decimal Code 515.353
- Quantity available 1
About Revaluation Books Devon, United Kingdom
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From the publisher
From the rear cover
This book contains two review articles on the dynamics of partial differential equations that deal with closely related topics but can be read independently.
Wayne reviews recent results on the global dynamics of the two-dimensional Navier-Stokes equations. This system exhibits stable vortex solutions: the topic of Wayne's contribution is how solutions that start from arbitrary initial conditions evolve towards stable vortices. Weinstein considers the dynamics of localized states in nonlinear Schrodinger and Gross-Pitaevskii equations that describe many optical and quantum systems. In this contribution, Weinstein reviews recent bifurcations results of solitary waves, their linear and nonlinear stability properties, and results about radiation damping where waves lose energy through radiation.
The articles, written independently, are combined into one volume to showcase the tools of dynamical systems theory at work in explaining qualitative phenomena associated with two classes of partial differential equations with very different physical origins and mathematical properties.
