Green modified function of the equation of the internal gravity waves in the stratum of the stratified medium with constant average flow

Abstract

In the present paper construction of the modified function of Green equation for internal gravity waves in the stratum of the stratified medium at presence of constant average flows is considered, properties of the corresponding spectral problems, the modified eigenfunctions and eigenvalues are investigated. Usage of the modified function of Green equation can give in some physically interesting events more friendly representations of the solutions for the fields of the internal gravity waves, including the wave fields disturbed by the non-local disturbing bodies.

46 pages, 4 figures

References in corpus (6)

• Dynamics of the internal gravity waves in the heterogeneous and nonstationary stratified mediums
• General problems of the internal gravity waves linear theory
• Internal Gravity Waves in a Stratified Fluid with Smoothly Varying Bottom
• Critical regimes of internal gravity wave generation
• Internal gravity waves in stratified horizontally inhomogeneous media
• Weak Singularity for Two-Dimensional Nonlinear Equations of Hydrodynamics and Propagation of Shock Waves

Cited by in corpus (5)

• Internal gravity waves near to the sources of disturbances at the critical modes of generation
• Non-spectral methods of analysis of the internal gravity waves measurements in ocean
• Non-local boundary conditions and internal gravity wave generation
• Evaluation of the linear theory satisfiability limits in propagation of the internal gravity waves
• Internal gravity waves from a non-local perturbation source