rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: NonlinearWaves and Solitons on Contours and Closed Surfaces
  name:
    name part: Ludu, Andrei.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XX, 466 p. 140 illus. online resource.
  abstract: The present 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. Emphasis on the 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. Nonlinear Waves and Solitons on Contours and Closed Surfaces provides graduate students and researchers in mathematics, physics and engineering with a ready tutorial and reference.
  table of contents: Mathematical Prerequisites -- 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 -- Solitons and Nonlinear Waves on Closed Curves and 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 -- Physical Nonlinear Systems at Different Scales -- Filaments, Chains, and Solitons -- Solitons on the Boundaries of Microscopic Systems -- Nonlinear Contour Dynamics in Macroscopic Systems -- Mathematical Annex.
  note: by Andrei Ludu.
  subject:
    topic: Physics
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: Differential geometry
  subject:
    topic: Mechanics
  subject:
    topic: Fluids
  subject:
    topic: Statistical physics
  subject:
    topic: Dynamical systems
  subject:
    topic: Physics
  subject:
    topic: Statistical Physics, Dynamical Systems and Complexity
  subject:
    topic: Dynamical Systems and Ergodic Theory
  subject:
    topic: Mechanics
  subject:
    topic: Differential Geometry
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Fluid- and Aerodynamics
  classification: QC174.7-175.36
  classification: 621
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Series in Synergetics
  identifier: 9783540728733
  identifier: http://dx.doi.org/10.1007/978-3-540-72873-3
  record info:
    record creation date: 100301
    record change date: 20151204190201.0
    record identifier: 978-3-540-72873-3