Limit this search to....

Dynamics of Partial Differential Equations 2015 Edition
Contributor(s): Wayne, C. Eugene (Author), Weinstein, Michael I. (Author)
ISBN: 331919934X     ISBN-13: 9783319199344
Publisher: Springer
OUR PRICE:   $47.49  
Product Type: Paperback
Published: August 2015
Qty:
Temporarily out of stock - Will ship within 2 to 5 weeks
Additional Information
BISAC Categories:
- Mathematics | Differential Equations - General
- Mathematics | Mathematical Analysis
- Science | System Theory
Dewey: 515.353
Series: Frontiers in Applied Dynamical Systems: Reviews and Tutorial
Physical Information: 79 pages
 
Descriptions, Reviews, Etc.
Publisher Description:

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.