Dynamics of Ocean Tides [Paperback]

1: Tidal Potential.- 1.1. The Tide-Generating Forces in the Ocean.- 1.2. Tidal Potential.- 1.3. Harmonic Analysis of the Tidal Potential.- 1.4. Additional Potentials of Deformation.- 2: Methods and Results of Experimental Studies of Ocean Tides.- 2.1. Direct Measurements of Tidal Elevations.- 2.1.1. Semidiurnal Tides.- 2.1.2. Diurnal Tides.- 2.1.3. Long-Period Tides.- 2.1.4. The Nature of the Oceans Response to External Action.- 2.2. Satellite Data.- 2.3. Determination of Ocean Tides from Gravimetric Data.- 3: Qualitative Studies of the Tidal Dynamics Equations.- 3.1. Tidal Dynamics Equations.- 3.2. Simplification of the Tidal Dynamics Equations, Boundary Conditions.- 3.3. Basic Notions and Definitions.- 3.4. Uniqueness Theorem.- 3.5. A Priori Estimates.- 3.6. Existence Theorem.- 3.7. Solvability of the Three-Dimensional Boundary Value Problem of Tidal Dynamics: Homogeneous Ocean.- 3.8. Solvability of the Three-Dimensional Boundary Value Problem of Tidal Dynamics: Stratified Ocean.- 3.9. Asymptotic Behavior of the Solution of Tidal Dynamics Equations when t ? ?.- 4: Free Oscillations in the World Ocean.- 4.1. Rayleighs Ratio.- 4.2. Analytical Solutions.- 4.2.1. Spherical Ocean of Constant Depth.- 4.2.2. Ocean Bounded by Two Meridians.- 4.2.3. A Flat Basin.- 4.3. Numerical Solutions.- 4.3.1. Proudmans Method.- 4.3.2. Finite Difference Method.- 4.3.3. Results.- 4.4. Elementary Modes of Free Oscillations.- 4.4.1. Sverdrup Waves.- 4.4.2. Kelvin Waves.- 4.4.3. Poincar? Waves.- 5: Forced Tidal Oscillations in the World Ocean.- 5.1. Analytical Solutions.- 5.2. Numerical Solutions.- 5.2.1. The Semi-Emperical Approach.- 5.2.2. The Theoretical Approach.- 5.2.3. Semidiurnal Tides.- 5.2.4. Diurnal Tides.- 5.2.5. Long-Period Tides.- 5.3. Numerical Experiments.- 5.3.1. Tides in the World Ocean of Real Configuration.- 5.3.2. Tides in the World Ocean of Idealized Configuration.- 5.3.3. Tides in the Oceans Separated by Barriers.- 5.3.4. Tides in the World Ocean in the Absence of lı