Topics in Geophysical Fluid Dynamics: Atmospheric Dynamics, Dynamo Theory, and Climate Dynamics

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Product Details

  • ISBN-13: 9780387964751
  • Publisher: Springer New York
  • Publication date: 2/19/1987
  • Series: Applied Mathematical Sciences Series , #60
  • Edition description: 1987
  • Edition number: 1
  • Pages: 527
  • Product dimensions: 1.03 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

I. Fundamentals.- 1. Effects of Rotation.- 1.1. The Rossby Number.- 1.2. Equations of Motion in an Inertial Frame.- 1.3. Equations in a Rotating Frame.- 1.4. Vorticity.- 1.5. Motion at Small Rossby Number: The Geostrophic Approximation.- 2. Effects of Shallowness.- 2.1. Derivation of the Equations for Shallow Water.- 2.2. Small Amplitude Motions in a Basin.- 2.3. Geostrophic Degeneracy and Rossby Waves.- 3. The Quase-Geostrophic Approximation.- 3.1. Scaling for Shallow Layers and Small Rossby Number.- 3.2. The Beta-Plane Approximation.- 3.3. The Inertial Boundary Layer.- 3.4. Quasi-Geostrophic Rossby Waves.- II. Large-Scale Atmospheric Dynamics.- 4. Effects of Stratification Baroclinic Instability.- 4.1. A Perspective of the Atmospheric General Circulation.- 4.2. Vertical Stratification.- 4.3. The Baroclinic Potential Vorticity Equation.- 4.4. Baroclinic Instability.- 4.5. Extensions of the Theory and Discussion.- 4.6. Bibliographic Notes.- 5. Changing Flow Patterns and Successive Bifurcations.- 5.1. Rotating Annulus Experiments.- 5.2. Simplified Dynamics, A Recipe.- 5.3. Analysis of Flow Regime Transitions.- 5.4. Deterministic Aperiodic Flow.- 5.5. Bibliographic Notes.- 6. Persistent Anomalies, Blocking and Predictability.- 6.1. Phenomenology of Blocking.- 6.2. Resonant Wave Interactions and Persistence.- 6.3. Multiple Stationary States and Blocking.- 6.4. Multiple Flow Regimes and Variations in Predictability.- 6.5. Low-Frequency Atmospheric Variability.- 6.6. Bibliographic Notes.- III. Dynamo Theory.- 7. Models of Geomagnetism: A Survey.- 7.1. General Features of the Earth’s Magnetic Field.- 7.2. Equations of the Hydromagnetic Dynamo.- 7.3. Kinematic Versus Hydromagnetic Theory.- 7.4. A Disc Model.- 7.5. Cowling’s Theorem in a Spherical Core.- 7.6. The Dynamo Effect as Line Stretching.- 7.7. A Necessary Condition for a Dynamo Effect.- 7.8. Bibliographic Notes.- 8. Kinematic Dynamo Theory.- 8.1. Introduction.- 8.2. The Smoothing Method.- 8.3. Application to the Dynamo Problem.- 8.4. The—-Effect in a Perfect Conductor.- 8.5. Almost Symmetric Dynamos.- 8.6. Small Diffusivity Aspects of Kinematic Dynamos.- 8.7. Multi-Scaling and Breakdown of Smoothing.- 8.8. Bibliographic Notes.- 9. The Hydrodynamic Basis of Geomagnetism.- 9.1. Introduction.- 9.2. Weak-Field Models and Constant—.- 9.3. Macrodynamic Model Equations.- 9.4. The Simplest Hydromagnetic Models.- 9.5. Coupling of Macrodynamics to Microscale.- 9.6. Thermal or Gravitational Source of Convection.- 9.7. Bibliographic Notes.- IV. Theoretical Climate Dynamics.- 10. Radiation Balance and Equilibrium Models.- 10.1. Radiation Budget of the Earth.- 10.2. Energy-Balance Models (EBMs): Multiple Equilibria.- 10.3. Nonlinear Stability and Shastic Perturbations.- 10.4. Modified EBMs: Periodic and Chaotic Solutions.- 10.5. Bibliographic Notes.- 11. Glaciation Cycles: Phenomenology and Slow Processes.- 11.1. Quaternary Glaciations, Paleoclimatological Evidence.- 11.2. Ice-Sheet Dynamics.- 11.3. Geodynamics.- 11.4. Bibliographic Notes.- 12. Climatic Oscillators.- 12.1. Free Oscillations of the Climatic System.- 12.2. Hopf Bifurcation.- 12.3. Orbital Changes and Their Climatic Effect.- 12.4. Forced Oscillations: Nonlinear Resonance.- 12.5. Entrainment, Combination Tones and Aperiodic Behavior.- 12.6. Periodicity and Predictability of Climate Evolution.- 12.7. Bibliographic Notes.- References.

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