書誌事項

Fundamentals of geophysical hydrodynamics

Felix V. Dolzhansky ; [scientific editors, A.E. Gledzer, E.B. Gledzer] ; translated by Boris Khesin

(Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 103 . Mathematical physics / Jürg Fröhlich ... [et al.] subseries editors ; 4)

Springer, c2013

タイトル別名

Osnovy geofizicheskoj gidrodinamiki

Основы геофизической гидродинамики

大学図書館所蔵 件 / 51

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注記

"Original Russian edition published as 'Osnovy geofizicheskoj gidrodinamiki', 2nd edition. ISBN 978-5-9221-1336-6. Fizmatlit Moscow 2011"--T.p. verso

Includes bibliographical references and index

内容説明・目次

内容説明

This newly-translated book takes the reader from the basic principles and conservation laws of hydrodynamics to the description of general atmospheric circulation. Among the topics covered are the Kelvin, Ertel and Rossby-Obukhov invariants, quasi-geostrophic equation, thermal wind, singular Helmholtz vortices, derivation of the Navier-Stokes equation, Kolmogorov's flow, hydrodynamic stability, and geophysical boundary layers. Generalizing V. Arnold's approach to hydrodynamics, the author ingeniously brings in an analogy of Coriolis forces acting on fluid with motion of the Euler heavy top and shows how this is used in the analysis of general atmospheric circulation. This book is based on popular graduate and undergraduate courses given by F.V.Dolzhansky at the Moscow Institute of Physics and Technology, and is the result of the author's highly acclaimed work in Moscow's Laboratory of Geophysical Hydrodynamics. Each chapter is full of examples and figures, exercises and hints, motivating and illustrating both theoretical and experimental results. The exposition is comprehensive yet user-friendly in engaging and exploring the broad range of topics for students and researchers in mathematics, physics, meteorology and engineering.

目次

Preface.- Part I Main Principles and Laws of Motion of an Ideal Fluid.- Part II Quasi-geostrophic Approximations of the Equations of Motion of Rotating Barotropic and Baroclinic Fluids.- Part III Hydrodynamic Stability and Atmospheric Dynamics.- Part IV Friction in Geophysical Boundary Layers and Their Models.- Part V Mechanical Prototypes of Equations of Motion of a Rotating Stratified Fluid and a Toy Model of Atmospheric Circulation.- Part VI Appendices.- Index

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詳細情報

  • NII書誌ID(NCID)
    BB10709128
  • ISBN
    • 9783642310331
  • LCCN
    2012951149
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 原本言語コード
    rus
  • 出版地
    Berlin
  • ページ数/冊数
    xiv, 272 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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