V.V.Bulatov, Yu.V.Vladimirov
Non-harmonic wave packets dynamics in 
stratified mediums. 
Moscow: Nauka, 2010, 470 pp (in Russian)


Annotation


The monograph is devoted to the research of the 
processes of  disturbance and propagation of 
the non-harmonic internal gravity waves within 
the vertically stratified horizontally 
non-uniform and non-stationary mediums, to 
development of the asymptotic methods being by 
the generalization of the space-time 
ray-tracing method 
(the method of the geometrical optics), 
to research of the critical phenomena at 
generation and propagations of the internal 
gravity waves, and also  to development of 
non-spectral methods of the  hydro physical 
fields measurements in the ocean. 
The monograph is intended for the specialists 
in the field of the mathematical modeling, 
hydrodynamics, ocean dynamics. 

Contents
Introduction
Chapter 1. Generation and dynamics of the 
non-harmonic wave internal gravity wave 
packets in stratified mediums 
1.1 Internal gravity waves in the stratified 
mediums: basic equations and integral forms 
of solutions.
1.2  Non-harmonic internal gravity wave 
packets far from the disturbing sources.
1.3 Non-harmonic internal gravity wave 
packets near to the disturbing sources.
1.4 Non-harmonic internal gravity wave 
packets in the vicinity of the source 
movement trajectories.
1.5  Modified Green's function of internal 
gravity waves in a layer of stratified 
medium with constant shear flow
1.6 Non-harmonic internal gravity wave 
packets at the arbitrary non-stationary 
source movement and generation critical 
modes  
1.7 Non-harmonic internal gravity wave 
packets generated by stationary sources 
1.8 Internal gravity waves in the 
stratified mediums with  shear flow
1.9 Dynamics of internal gravity waves in  
the exponentially stratified mediums.
Chapter 2.  Numerical calculations of 
non-harmonic internal gravity wave packets 
generation and dynamics from the non-local 
sources of disturbances 
2.1 Numerical methods of  fundamental 
vertical spectral problem solution:  
eigenfunctions and eigenfunctions 
determination 
2.2 3D - calculations of non-harmonic 
internal gravity wave packets  from the 
non-local sources of disturbances
  2.3 Non-local boundary conditions for 
mathematic modeling of stratified medium 
wave dynamics 
2.4 Boundary and initial conditions for 
numerical calculations of the internal 
gravity waves  far from the disturbing 
sources.
Chapter 3. Non-harmonic wave internal 
gravity wave packets s in the 
heterogeneous and non-stationary 
stratified mediums.
3.1 Basic concepts of the geometric 
optics (WKB) method 
3.2 Non-harmonic internal gravity wave 
packets in the stratified medium layer 
with the varying bottom. 
3.3 Non-harmonic internal gravity wave 
packets in the heterogeneous stratified 
mediums.
3.4 Non-harmonic internal gravity wave 
packets in the non-stationary stratified 
mediums.
3.5 The uniform asymptotic form of the 
internal gravity waves field generated 
by a source moving above the smoothly 
varying bottom
Chapter 4. Spectral and non-spectral 
methods of analysis of the of the 
non-harmonic internal gravity waves 
packets measurements in ocean.
4.1 Main ideas and methods of the 
spectral and non-spectral internal 
gravity waves analysis measurements  
4.2 Non-spectral methods of the 
analysis of the hydro physical 
measurements in ocean. 
4.3 Non-spectral methods of the 
analysis of the non-harmonic internal 
gravity waves packets measurements 
in ocean.
Appendix. Evaluation of the linear 
theory satisfiability limits in 
propagation of the internal 
gravity waves

References