Dynamics of Partial Differential Equations
Language: English
Published by Springer, 2015
Series: Book 2 of 8 - Frontiers in Applied Dynamical Systems: Reviews and Tutorials
- Softcover
- New

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79 pages. 9.25x6.25x0.50 inches. In Stock.
Seller Inventory # __331919934X
- Title
- Dynamics of Partial Differential Equations
- Author
- Wayne, C. Eugene (Author)/ Weinstein, Michael I. (Author)
- Publisher
- Springer
- Publication year
- 2015
- Condition
- Brand New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 331919934X
- ISBN 13
- 9783319199344
- Item weight
- 0.2 kilograms
- Series
- Book 2 of 8: Frontiers in Applied Dynamical Systems: Reviews and Tutorials
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.
"Synopsis" may belong to another edition of this title.
About the Author
C.E. Wayne is a Professor in the Mathematics Department at Boston University. His research interests include dynamical systems, partial differential equations and mathematical physics.
M.I. Weinstein is a Professor of Applied Mathematics in the Department of Applied Physics and Applied Mathematics at Columbia University. His research interests include partial differential equations, applied analysis and dynamical systems.
"About the title" may belong to another edition of this title.
Revaluation Books
Exeter, United Kingdom
AbeBooks seller since January 6, 2003
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