

V.V.Bulatov, Yu.V.Vladimirov
A general approach to ocean wave dynamics
research: modelling, asymptotics, measurements.
М.: Издательство «Онто Принт», 2019, 587 с.
CONTENTS
Introduction
Chapter 1
Internal gravity waves dynamics in vertically stratified mediums
1.1. Internal gravity waves in vertically stratified mediums: basic
equations, problem definition, integral forms of solutions
1.2. Internal gravity waves far from disturbing sources
1.3. Internal gravity waves near disturbing sources
1.4. Internal gravity waves in the neigborhood of moving sources
trajectories
1.5. Modified green’s function for the equation of internal gravity
waves in a stratified medium layer with fixed average shear flow
1.6. Internal gravity waves generated by arbitrary moving disturbing
sources and critical modes of generation
1.7. Internal gravity waves generated by stationary disturbing sources
Chapter 2
Mathematical modeling of internal gravity waves generated
by nonlocal disturbing sources
2.1. Numerical methods for solving fundamental vertical spectral
problems of the internal gravity waves equation: calculation of
eigenfunctions and dispersion curves
2.2. Mathematical modeling of internal gravity waves generated by
nonlocal disturbing sources
2.3. Nonlocal boundary conditions for internal gravity waves
mathematical modeling
2.4. Initialboundary conditions for mathematical modeling of
internal gravity waves far from disturbing sources
Chapter 3
Internal gravity waves dynamics in horizontally nonuniform and
nonstationary stratified mediums
3.1. Basic concepts and generalization of the geometric optics
(WKBJ) method
3.2. Internal gravity waves in stratified variable depth mediums
3.3. Internal gravity waves in horizontally inhomogeneous
stratified mediums
3.4. Internal gravity waves in nonstationary stratified mediums
3.5. The uniform asymptotic form of internal gravity waves in
stratified mediums with variable depth
3.6. Harmonic internal gravity waves in a stratified mediums
with variable depth: exact solutions and asymptotic
representations
3.7. Construction of advanced approximations for internal gravity
waves asymptotics in stratified mediums with variable depth
Chapter 4
Nonspectral algorythms for processing field data based on
mathematical modeling of internal gravity waves dynamics
4.1. Basic concepts of spectral and nonspectral methods for
analyzing of internal gravity waves measurements
4.2. Algorithms and results of spectral and nonspectral methods
for analyzing hydrophysical fields measurements
4.3. Nonspectral algorithms for processing the internal gravity
waves measurements in the ocean
Chapter 5
Selected problems of the linear and nonlinear internal gravity
waves theory
5.1. Internal gravity waves in an unbounded exponentially
stratified medium
5.2. Internal gravity waves in stratified mediums with variable
average shear flows
5.3. Internal gravity waves in the stratified mediums with the
Vaisala–Brunt variable frequency
5.4. Internal gravity waves impulse propagation in an incompressible
stratified medium
5.5. Acousticgravity waves impulses in a stratified compressible
mediums
5.6. Evaluation of satisfiability limits for the internal gravity
waves linear theory
References
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