Dynamics of the Equatorial Ocean - Boyd, John P.

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Résumé :
Contains appendices for illustrating special cases Treats the important semiannual and annual cycles in the tropic sea Includes complementary information to assist the reader in understanding the differences between the phenomenon in different latitudes...

Biographie:
The Equatorial Beta-Plane as the Thin Limit of the Nonlinear

Shallow Water Equations on the Sphere

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4.1??? Introduction

4.3??? Meridional Geostrophy Approximation

4.5??? Frequency Separation of Slow [Rossby/Kelvin] and Fast [Gravity]

4.6??? Long Wave Initial Value Problems

4.7??? Reflection From an Eastern Boundary in the Long Wave

Approximation

4.7.1??? The Method of Images

4.7.2??? Dilated Images

4.7.3??? Zonal Velocity

4.8??? Forced Problems in the Long Wave Approximation

5????? Coastally Trapped Waves and Ray-

5.1??? Introduction

5.2??? Coastally-Trapped Waves

5.3??? Ray-Tracing for Coastal Waves

5.4??? Ray-Tracing on the Equatorial Beta-plane

5.5??? Coastal & Equatorial Kelvin Waves

5.6??? Topographic and Rotational Rossby Waves and Potential Vorticity

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6.1??? Introduction

6.3??? Reflection of Equatorial Waves from a Western Boundary

6.5??? The Meridional Geostrophy/Long Wave Approximation and Boundaries

6.7??? Quasi-Normal Modes in the Long Wa

6.8??? Quasi-Normal Modes in the Long Wave Approximation: Discussion

6.9??? High Frequency Quasi-Free Equatorial Oscillations

7????? Response of the Equatorial Ocean to Periodic Forcing

7.2??? A Hierarchy of Models for Time-Periodic Forcing

7.4??? Numerical models: Reflections and Ringing

7.6??? Summary?

8????? Impulsive Forcing and Spin-up

8.1??? Introduction

8.2??? The Reflection of the Switched-On Kelvin Wave

8.3??? Spin-up of a Zonally-Bounded Ocean: Overv

8.4??? The Interior (Yoshida) Solution

8.5??? Inertial-Gravity Waves

8.7??? Sverdrup Flow on the Equatorial Beta-Plane

8.9??? Equatorial Spin-up: Details

9????? Yoshida Jet and Theories of the Undercurrent

9.1??? Introduction

9.3??? The Yoshida Jet

9.4.1??? Forced eigenoperators: Hermite series

9.4.3??? Regularized Forci

9.4.4??? Bessel Function Explicit Solution for the Yoshida Jet

9.4.5??? Rational Approximations: Two-Point Pade Approximants

9.5??? Unstratified Models of the Undercurrent?

9.5.2??? Model of Stommel (1960)

10??? Stratified Models of Mean Currents

10.1? Introduction

10.2? Modal Decompositions for Linear, Stratified Flow

10.3.1? Bjerknes Balance

10.4.1? Other Balances

10.6? Observations of the Tsuchiya Jets

10.7? A...

Sommaire:
An Observational Overview of the Equatorial Ocean.-?Basic Equations and Normal Modes.-?Kelvin, Yanai, Rossby and Gravity Waves.-?The Long Wave Approximation & Geostrophy.-?Coastally Trapped Waves and Ray-Tracing.-?Reflections and Boundaries.-?Response of the Equatorial Ocean to Periodic Forcing.-?Impulsive Forcing and Spin-up.-?Yoshida Jet and Theories of the Undercurrent.-?Stratified Models of Mean Currents.-?Waves and Beams in the Continuously Stratified Ocean.-?Stable Waves in Shear.-?Inertial Instability and Deep Equatorial Jets.-?Kelvin Wave Instability.-?Nonmodal Instability.-?Nonlinear Equatorial Waves.-?Nonlinear Wavepackets and Nonlinear Schroedinger Equation

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