大葉大學圖書館 |

Dynamics of partial differential equations[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.353
書名/作者:	Dynamics of partial differential equations/ by C. Eugene Wayne, Michael I. Weinstein.
作者:	Wayne, C. Eugene.
其他作者:	Weinstein, Michael I.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	x, 79 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Differential equations, Partial.
標題:	Partial Differential Equations.
標題:	Dynamical Systems and Ergodic Theory.
ISBN:	9783319199351
ISBN:	9783319199344
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-19935-1

Dynamics of partial differential equations[electronic resource] /
Wayne, C. Eugene.

Dynamics of partial differential equations[electronic resource] /by C. Eugene Wayne, Michael I. Weinstein. - Cham :Springer International Publishing :2015. - x, 79 p. :ill., digital ;24 cm. - Frontiers in applied dynamical systems: reviews and tutorials,v.32364-4532 ;. - Frontiers in applied dynamical systems: reviews and tutorials ;v.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.

ISBN: 9783319199351

Standard No.: 10.1007/978-3-319-19935-1doiSubjects--Topical Terms:

389324
Differential equations, Partial.

LC Class. No.: QA377

Dewey Class. No.: 515.353

Dynamics of partial differential equations[electronic resource] /
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