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The Resource Dynamics of partial differential equations, C. Eugene Wayne, Michael I. Weinstein

Dynamics of partial differential equations, C. Eugene Wayne, Michael I. Weinstein

Label
Dynamics of partial differential equations
Title
Dynamics of partial differential equations
Statement of responsibility
C. Eugene Wayne, Michael I. Weinstein
Creator
Contributor
Author
Subject
Language
eng
Summary
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 Schrödinger/Gross-Pitaevskii equations that describe many optical and quantum systems. In this contribution, Weinstein reviews recent results on the bifurcation of solitary waves, their linear and nonlinear stability properties, and the role of radiation damping in the synamics of energy flow for the energy-conserving PDE. 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
Member of
Cataloging source
BTCTA
http://library.link/vocab/creatorDate
1956-
http://library.link/vocab/creatorName
Wayne, C. Eugene
Dewey number
515.3/53
Illustrations
illustrations
Index
no index present
LC call number
QA374
LC item number
.W39 2015
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Weinstein, Michael I.
Series statement
Frontiers in applied dynamical systems: Reviews and tutorials,
Series volume
volume 3
http://library.link/vocab/subjectName
  • Differential equations, Partial
  • Schrödinger equation
  • Gross-Pitaevskii equations
  • Differential equations, Partial
  • Gross-Pitaevskii equations
  • Schrödinger equation
Label
Dynamics of partial differential equations, C. Eugene Wayne, Michael I. Weinstein
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Control code
908374378
Dimensions
23 cm
Extent
x, 79 pages
Isbn
9783319199344
Lccn
2015942469
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
Other physical details
illustrations (some color)
System control number
(OCoLC)908374378
Label
Dynamics of partial differential equations, C. Eugene Wayne, Michael I. Weinstein
Publication
Copyright
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Control code
908374378
Dimensions
23 cm
Extent
x, 79 pages
Isbn
9783319199344
Lccn
2015942469
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
Other physical details
illustrations (some color)
System control number
(OCoLC)908374378

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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