Advanced Studies in Ocean Physics

This book describes a comprehensive selection of ocean processes such as wave phenomena (surface, internal gravitational, and acoustic waves), the influence of surfactants and pollutants on the aquatic environment's dynamics, the models of the stratified natural environment, convective phenomena in the ocean, and the interaction of wave and convective processes. Finally, this book dedicates the last section to unsolved problems in the physics of anomalous waves.

Most of the chapters present the most hegemonic theories but also they introduce the revulsive ideas based on alternative approaches. The underlying mathematical models are scientifically justified both at the physical and formal mathematical levels. In all known limiting cases lead to well-known classical results. They are in good agreement with experimental data.

Several sections show the application of developed approaches to the description of natural phenomena. The book is of interest to specialistsworking in the field of ocean physics, as well as undergraduate and graduate students specializing in marine physics and oceanography.

Contenu
Introduction

Chapter 1. Linear and nonlinear surface waves

1.1 Mathematical models of wave phenomena on the surface

1.2 Infinitesimal waves and linear models

1.3 Transfer by waves of energy and momentum

1.4 Weakly nonlinear waves of finite amplitude

1.5 Soliton and soliton-like solutions

1.6 Alternative approaches to the description of surface waves

Chapter 2. Internal waves at the interface.

2.1 Statement of the problem and its mathematical model

2.2 The dispersion equation

2.3 Characteristic features of waves at the interface

Chapter 3. Transformation of waves on the flow

3.1 Statement of the problem of waves on a flow

3.2 The dispersion equation of waves in a flow

3.3. Reflection of waves from flow inhomogeneities

Chapter 4. Surface contamination

4.1. Surfactants in the Ocean

4.2. Oil in the ocean

4.3. The effect of surfactants on ocean waves

4.4. Basic equations and dynamic boundary conditions in the presence of surfactants 4.5. The dispersion equation and features of the wave motion in the presence of surfactants

4.6. Features of wave motion in the presence of surfactants

4.7. Experimental studies of the effects of surfactants on waves

4.7.1. Experimental research methods

4.7.2. Experiments to study the effects of surfactants on regular waves

4.7.3. Experiments to study the effects of surfactants on wind waves

Chapter 5. Ocean Acoustic Waves

5.1 Linear acoustics model

5.2 The dispersion equation and the problem of attenuation of sound waves in a viscous medium

5.3 Acoustic potential 5.4 Transfer of momentum and energy by sound waves

5.5 The phenomenon of sound refraction and the underwater sound channel

Chapter 6. Stratification of the ocean environment.

6.1 Model for stable stratification of the marine environment

6.2 Thermodynamic characteristics of the medium

6.3 Simplified models of natural stratified media

Chapter 7. Internal gravity waves in a stratified medium.

7.1 Mathematical model of oscillations of a stratified medium

7.2 The dispersion equation of internal gravity waves 7.3 Transfer of momentum and energy by internal gravity waves and their specific properties

7.4 Some features of the generation of internal gravity waves

Chapter 8. Convective phenomena in the sea.

8.1 Model of heat and mass transfer in the marine environment

8.2 The problem of convective instability of the marine environment

8.3 The occurrence of convective phenomena

8.4 Convection criteria from localized sources

Chapter 9. Interaction of surface waves with regions of near-surface convection.

9.1 Statement of the problem of the propagation of waves on a surface with varying properties

9.2 Spatial structure of gravitational-capillary waves in the presence of convective flows

9.3 Characteristics of scattering of surface waves by periodic convective structures

Chapter 10. Anomalous waves

10.1 The concept of an abnormal wave

10.2 History of observation of anomalous waves

10.3 Researches and various models of anomalous waves

Literature