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Dynamics of partial differential equations

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This book contains two review articles℗ℓon℗ℓthe 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. ℗ℓ 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

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Series Title

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Call Number

515

Publisher

Cham : Springer., 2015

Collation

x, 79 pages

Language

English

ISBN/ISSN

9783319199351

Classification

515

Content Type

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Media Type

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Carrier Type

online resource

Edition

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Subject(s)

Calculus

Specific Detail Info

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Statement of Responsibility

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Other Information

Cataloger

Kurnadi

Source

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