Fundamentals of Geophysical Hydrodynamics / by Felix V. Dolzhansky
(Encyclopaedia of Mathematical Sciences ; 103)
データ種別 | 電子ブック |
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出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
出版年 | 2013 |
本文言語 | 英語 |
大きさ | XIV, 274 p : online resource |
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内容注記 | 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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一般注記 | 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. |
著者標目 | *Dolzhansky, Felix V. author SpringerLink (Online service) |
件 名 | LCSH:Mathematics LCSH:Hydrogeology LCSH:Mathematical physics LCSH:Physics LCSH:Fluids LCSH:Geophysics FREE:Mathematics FREE:Mathematical Applications in the Physical Sciences FREE:Geophysics and Environmental Physics FREE:Hydrogeology FREE:Theoretical, Mathematical and Computational Physics FREE:Fluid- and Aerodynamics |
分 類 | DC23:519 |
巻冊次 | ISBN:9783642310348 |
ISBN | 9783642310348 |
URL | http://dx.doi.org/10.1007/978-3-642-31034-8 |
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