10 citations · 49 across the 16 of their papers we have counts for
16 papers
On the internal gravity waves in the stratified ocean with shear flows
Vitaly V. Bulatov, Yuriy V. Vladimirov
In this paper, we consider a fundamental problem of describing the dynamics of internal gravity waves in the stratified ocean with shear flows. We develop an asymptotic representat…
The dynamics of internal gravity waves in the ocean: theory and applications
Vitaly V. Bulatov, Yuriy V. Vladimirov
In this paper we consider fundamental processes of the disturbance and propagation of internal gravity waves in the ocean modeled as a vertically stratified, horizontally non-unifo…
On the dynamics of internal waves propagating in stratified media of a variable depth: exact and asymptotic solutions
Vitaly V. Bulatov, Yuriy V. Vladimirov
The dynamics of internal waves in stratified media, such as the ocean or atmosphere, is highly dependent on the topography of their floor. A closed-form analytical solution can be…
Fundamental problems of modeling the dynamics of internal gravity waves with applications to the Arctic Basin
Vitaly V. Bulatov, Yuriy V. Vladimirov
In this paper, we consider fundamental problems of the dynamics of internal gravity waves. We present analytical and numerical algorithms for calculating the wave fields for a set…
Internal gravity waves in a stratified medium of non-uniform depth
Vitaly V. Bulatov, Yuriy V. Vladimirov
The problem of reconstructing non-harmonic internal gravity wave packets generated by a source moving in a stratified ocean is considered. The uniform asymptotic form of the intern…
Non-local boundary conditions and internal gravity wave generation
Vitaly V. Bulatov, Yuriy V. Vladimirov
This work focuses on the mathematical modeling of wave dynamics in a stratified medium. Non-local absorbing boundary conditions are considered based on the two following assumption…