The Resource Nonlinear waves and solitons on contours and closed surfaces, Andrei Ludu, (electronic resource)

Nonlinear waves and solitons on contours and closed surfaces, Andrei Ludu, (electronic resource)

Label
Nonlinear waves and solitons on contours and closed surfaces
Title
Nonlinear waves and solitons on contours and closed surfaces
Statement of responsibility
Andrei Ludu
Creator
Contributor
Provider
Subject
Language
eng
Summary
This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics, physics and engineering. This new edition has been thoroughly revised, expanded and updated
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Ludu, Andrei
Image bit depth
0
LC call number
QA927
LC item number
.L83 2012
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Springer Series in Synergetics,
http://library.link/vocab/subjectName
  • Nonlinear waves
  • Solitons
  • Compact spaces
  • Nonlinear Dynamics
  • Differential Geometry
  • Mathematical Methods in Physics
  • Fluid- and Aerodynamics
  • Soft and Granular Matter, Complex Fluids and Microfluidics
  • Surface and Interface Science, Thin Films
  • SCIENCE
  • Physique
  • Astronomie
  • Compact spaces
  • Nonlinear waves
  • Solitons
Label
Nonlinear waves and solitons on contours and closed surfaces, Andrei Ludu, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Mathematical Prerequisites -- The Importance of the Boundary -- Vector Fields, Differential Forms, and Derivatives -- Geometry of Curves -- Motion of Curves and Solitons -- Geometry of Surfaces -- Theory of Motion of Surfaces -- Kinematics of Hydrodynamics -- Dynamics of Hydrodynamics -- Nonlinear Surface Waves in One-Dimension -- Nonlinear Surface Waves in Two-Dimensions -- Nonlinear Surface Waves in Three-Dimensions -- Other Special Nonlinear Compact Systems -- Filaments, Chains and Solitons -- Solitons on the Boundaries of Microscopic Systems -- Nonlinear Contour Dynamics in Macroscopic Systems -- Mathematical Annex -- References -- Index
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xviii, 489 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783642228940
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-22895-7
Other physical details
illustrations.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (OCoLC)773924287
  • (OCoLC)ocn773924287
Label
Nonlinear waves and solitons on contours and closed surfaces, Andrei Ludu, (electronic resource)
Publication
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Mathematical Prerequisites -- The Importance of the Boundary -- Vector Fields, Differential Forms, and Derivatives -- Geometry of Curves -- Motion of Curves and Solitons -- Geometry of Surfaces -- Theory of Motion of Surfaces -- Kinematics of Hydrodynamics -- Dynamics of Hydrodynamics -- Nonlinear Surface Waves in One-Dimension -- Nonlinear Surface Waves in Two-Dimensions -- Nonlinear Surface Waves in Three-Dimensions -- Other Special Nonlinear Compact Systems -- Filaments, Chains and Solitons -- Solitons on the Boundaries of Microscopic Systems -- Nonlinear Contour Dynamics in Macroscopic Systems -- Mathematical Annex -- References -- Index
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xviii, 489 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783642228940
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-22895-7
Other physical details
illustrations.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (OCoLC)773924287
  • (OCoLC)ocn773924287

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