Fundamentals of Geophysical Hydrodynamics

Authors:

ISBN: 978-3-642-31033-1 (Print) 978-3-642-31034-8 (Online)

Table of contents (27 chapters)

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  1. Front Matter

    Pages I-XIV

  2. Main Principles and Laws of Motion of an Ideal Fluid

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-11

      Equations of Motion of an Ideal Incompressible Fluid; Kelvin’s Circulation Theorem

    3. No Access

      Book Chapter

      Pages 13-21

      Potential Vorticity and the Conservation Laws of Energy and Momentum for a Stratified Incompressible Fluid

    4. No Access

      Book Chapter

      Pages 23-30

      Helicity; Equations of Gas Dynamics; The Ertel Invariant

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      Book Chapter

      Pages 31-39

      The Rossby–Obukhov Potential Vortex; Energy and Momentum of a Compressible Fluid; Hydrodynamic Approximation of Equations of Gas Dynamics

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

    1. Front Matter

      Pages 41-41

    2. No Access

      Book Chapter

      Pages 43-50

      Equations of Motion of a Rotating Fluid; The Notion of a Geophysical Flow

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      Book Chapter

      Pages 51-60

      What is Geophysical Hydrodynamics?

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      Book Chapter

      Pages 61-70

      The Obukhov–Charney Equation; Rossby Waves

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      Book Chapter

      Pages 71-82

      Resonant Interaction of Rossby Waves; Helmholtz and Obukhov Singular Vortices; The Kirchhoff Equations

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      Book Chapter

      Pages 83-92

      Equations of Quasi-geostrophic Baroclinic Motion

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      Book Chapter

      Pages 93-99

      The Energy Balance, Available Potential Energy, and Rossby Waves in a Baroclinic Atmosphere

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      Book Chapter

      Pages 101-106

      Important Remarks on the Description of Baroclinic Geophysical Flows

  4. Hydrodynamic Stability and Atmospheric Dynamics

    1. Front Matter

      Pages 107-107

    2. No Access

      Book Chapter

      Pages 109-115

      The Notion of Dynamical Stability via the Example of Motion of a Rigid Body with a Fixed Point

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      Book Chapter

      Pages 117-123

      Stating the Linear Stability Problem for Plane-Parallel Flows of Ideal Homogeneous and Nonhomogeneous Fluids

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      Book Chapter

      Pages 125-131

      The Method of Normal Modes and Its Simplest Applications in the Theory of Linear Stability of Plane-Parallel Flows

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      Book Chapter

      Pages 133-139

      The Taylor Problem of Stability of Motion of a Stratified Fluid with a Linear Velocity Profile

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      Book Chapter

      Pages 141-150

      Applications of Integral Relations and Conservation Laws in the Theory of Hydrodynamic Stability

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      Book Chapter

      Pages 151-157

      Stability of Zonal Flows of a Barotropic Atmosphere; The Notion of Barotropic Instability

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      Book Chapter

      Pages 159-167

      The Concept of Baroclinic Instability; The Eady Model

  5. Friction in Geophysical Boundary Layers and Their Models

    1. Front Matter

      Pages 169-169

    2. No Access

      Book Chapter

      Pages 171-179

      Equations of Motion of a Viscous Fluid; The Boundary Conditions

    3. No Access

      Book Chapter

      Pages 181-188

      Friction Mechanisms in Global Geophysical Flows; Quasi-geostrophic Equation for Transformation of Potential Vorticity

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