Fundamentals of Geophysical Hydrodynamics

  • Felix V. Dolzhansky

Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 103)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Main Principles and Laws of Motion of an Ideal Fluid

  3. Quasi-geostrophic Approximations of the Equations of Motion of Rotating Barotropic and Baroclinic Fluids

  4. Hydrodynamic Stability and Atmospheric Dynamics

About this book

Introduction

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. 

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. 

Keywords

geophysics hydrodynamics

Authors and affiliations

  • Felix V. Dolzhansky
    • 1
  1. 1.Inst. Atmospheric PhysicsRussian Academy of SciencesMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-31034-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-31033-1
  • Online ISBN 978-3-642-31034-8
  • Series Print ISSN 0938-0396
  • About this book