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: Nonlinear dynamics of rotating shallow water
    sub title: methods and advances
  name:
    name part: Zeitlin, V. (Vladimir)
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: ne
    place:
      place term: Amsterdam
    publisher: Elsevier Science Ltd.
    date issued: 2007
    edition: 1st ed.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (viii, 391 pages) : illustrations (some color)
  abstract: The rotating shallow water (RSW) model is of wide use as a conceptual tool in geophysical fluid dynamics (GFD), because, in spite of its simplicity, it contains all essential ingredients of atmosphere and ocean dynamics at the synoptic scale, especially in its two- (or multi- ) layer version. The book describes recent advances in understanding (in the framework of RSW and related models) of some fundamental GFD problems, such as existence of the slow manifold, dynamical splitting of fast (inertia-gravity waves) and slow (vortices, Rossby waves) motions, nonlinear geostrophic adjustment and wave emission, the role of essentially nonlinear wave phenomena. The specificity of the book is that analytical, numerical, and experimental approaches are presented together and complement each other. Special attention is paid on explaining the methodology, e.g. multiple time-scale asymptotic expansions, averaging and removal of resonances, in what concerns theory, high-resolution finite-volume schemes, in what concerns numerical simulations, and turntable experiments with stratified fluids, in what concerns laboratory simulations. A general introduction into GFD is given at the beginning to introduce the problematics for non-specialists. At the same time, recent new results on nonlinear geostrophic adjustment, nonlinear waves, and equatorial dynamics, including some exact results on the existence of the slow manifold, wave breaking, and nonlinear wave solutions are presented for the first time in a systematic manner. Incorporates analytical, numerical and experimental approaches in the geophysical fluid dynamics context Combination of essentials in GFD, of the description of analytical, numerical and experimental methods (tutorial part), and new results obtained by these methods (original part) Provides the link between GFD and mechanics (averaging method, the method of normal forms); GFD and nonlinear physics (shocks, solitons, modons, anomalous transport, periodic nonlinear wa…
  table of contents: Preface -- 1. V. Zeitlin, Introduction: fundamentals of rotating shallow water model in the geophysical fluid dynamics perspective -- 2. G. Reznik and V. Zeitlin, Asymptotic methods with applications to the fast-slow splitting and the geostrophic adjustment -- 3. S. Medvedev, The method of normal forms and fast-slow splitting -- 4. F. Bouchut, Efficient numerical finite-volume schemes for shallow-water models -- 5. V. Zeitlin, Nonlinear wave phenomena in rotating shallow water with applications to geostrophic adjustment -- 6. A. Stegner, Experimental reality of geostrophic adjustment.
  note: edited by V. Zeitlin.
  note: Included bibliographical references and indexes.
  subject:
    topic: Fluid dynamics
  subject:
    topic: Hydrodynamics
  subject:
    topic: Dynamique des fluides
  subject:
    topic: SCIENCE
    topic: Mechanics
    topic: Fluids
  subject:
    topic: Fluid dynamics
  classification: QA911 .N65 2007eb
  classification: 532/.05
  related item:
    title info:
      title: Nonlinear dynamics of rotating shallow water
    origin info:
      publisher: Amsterdam : Elsevier Science Ltd., 2007
      edition: 1st ed.
    identifier: (OCoLC)148823324
  related item:
    title info:
      title: Edited series on advances in nonlinear science and complexity ; v. 2
  identifier: 9780444522580
  identifier: 0444522581
  identifier: 9780080489469
  identifier: 008048946X
  identifier: 132422:132530 Elsevier Science & Technology
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 070802
    record change date: 20260326151035.0
    record identifier: in00005732335
    language of cataloging:
      language term: eng