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Autor: C. E. Wayne
ISBN-13: 9783319199344
Einband: Taschenbuch
Seiten: 79
Format: 236x155x7 mm
Sprache: Englisch

Dynamics of Partial Differential Equations

.3, Frontiers in Applied Dynamical Systems: Reviews and Tutorials
4
Dynamical Systems and the Two-dimensional Navier-Stokes Equations.- Localized States and Dynamics in the Nonlinear Schrodinger/Gross-Pitaevskii Equation.
3
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.
Autor: C. E. Wayne, M. I. Weinstein
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.
Autor: C. E. Wayne
ISBN-13:: 9783319199344
ISBN: 331919934X
Verlag: Springer, Berlin, Springer International Publishing, Springer
Seiten: 79
Sprache: Englisch
Auflage 1st ed. 2015
Sonstiges: Taschenbuch, 236x155x7 mm, 2 SW-Abb., 12 Farbabb., 1 Tabellen