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Media type:
E-Book
Title:
An introduction to the mathematical theory of geophysical fluid dynamics
Contains:
Front Cover; An Introduction to the Mathematical Theory of Geophysical Fluid Dynamics; Copyright Page; TABLE OF CONTENTS; INTRODUCTION; CHAPTER 1: EQUATIONS OF MOTION; CHAPTER 2: POTENTIAL VORTICITY; Problems; CHAPTER 3 : NON-DIMENSIONAL PARAMETERS; Problems; CHAPTER 4: GEOSTROPHIC FLOW; Taylor-Proudman Theorem; Taylor Column; Application to Geophysical Motion; ß- Plane Approximation; Problems; CHAPTER 5: THE EKMAN LAYER; Ekman Layer Equations; Example of Cylindrical Flow; Ekman Layer Spiral; Mass Transport in the Ekman Layer; Spin-up Time Scale; Tea-cup Experiment; Problems
CHAPTER 6: THE GEOSTROPHIC MODESThe Geostrophic Mode in a Sphere; Geostrophically Free, Guided, and Blocked Regions; Circulation; Problems; CHAPTER 7: INERTIAL MODES; ? Real and |?|<2; Orthogonality; Mean Circulation Theorem; Initial Value Problem; Inertial Modes in a Cylinder; Plane Wave Solution; Problems; CHAPTER 8: ROSSBY WAVES; Sliced Cylinder; ß-Plane Problem; Plane Wave Solution; Problems; CHAPTER 9: VERTICAL SHEAR LAYERS; E1/3- Layer; E1/4-Layer; Sliced Cylinder; An Ocean Model: Sverdrup's Relation; Problems; CHAPTER 10: ANALOGIES BETWEEN ROTATION AND STRATIFICATION; Problems
CHAPTER 11: THE NORMAL MODE PROBLEM FOR ROTATING STRATIFIED FLOWThe Steady Flow; Potential Vorticity; Problems; CHAPTER 12: ROSSBY WAVES IN A ROTATING STRATIFIED FLUID; The Potential Vorticity Equation; Rossby Waves for a Stratified Fluid; Rossby Radius of Deformation; Problems; CHAPTER 13: INTERNAL WAVES IN A ROTATING STRATIFIED FLUID; Plane Wave Solution; Waves in Bounded Geometry; Variable N( z ); Oceanographic Results; Problems; CHAPTER 14: BOUNDARY LAYERS IN A ROTATING STRATIFIED FLUID; The Stratified Ekman Layer; The Side-wall Layers; Problems
CHAPTER 15: SPIN-DOWN IN A ROTATING STRATIFIED FLUIDSpin-down in a Cylinder; Secular Growth; The Steady Solution; The Decaying Modes; Further Comments; Problems; CHAPTER 16: BAROCLINIC INSTABILITY; The Eady Model; The Stability Criterion; Experiments: Laboratory Models; Problems; APPENDIX BOUNDARY LAYER METHODS; BIBLIOGRAPHY; INDEX;