Abstract
The article solves the problem of surface gravitational waves using the theory of tangential discontinuity between media: air-water. Using the improved equation of mass continuity and taking into account the atmosphere inhomogeneity in the gravitational field of the Earth, it is shown that during wave processes, these two media mutually influence each other, which explains the reason for the formation of a stormy condition over the ocean and the drop in atmospheric pressure before the storm. The mechanism of the formation of the “killer wave” has been established and thus the “greatest mystery of nature” has been solved. The scale of wind and tsunami wavelengths has been established.
Highlights
In early works, we argued that linear theory describes only capillary waves
Using the improved equation of mass continuity and taking into account the atmosphere inhomogeneity in the gravitational field of the Earth, it is shown that during wave processes, these two media mutually influence each other, which explains the reason for the formation of a stormy condition over the ocean and the drop in atmospheric pressure before the storm
After we showed that the liquid cannot be incompressible, i.e. ∇V ≠ 0 [3], where V -is the velocity of the liquid particle, the gravitational acceleration from the dispersion equation disappeared [1]
Summary
In early works (see e.g. [1]), we argued that linear theory describes only capillary waves. While analyzing the problem of surface gravity waves, both media should be taken into account—air and water, i.e. should be obtained in a linear approximation of the equations of gravitational waves in these media, and tied to their solutions on the boundary surface using boundary conditions When performing these procedures, the perturbed values of density and pressure in each medium are linked by the equation of the state of the medium ρ = P′ C2 , where C is the speed of sound in the medium. The authors consider the water to be incompressible and contemplate, that the density perturbation is isobaric, i.e. only the second summand is considered in the Equation (13) As a result, they receive a so-called internal wave, the frequency of which depends only on the direction of the wave vector, the magnitude of which can be any. It can be assumed that this is precisely the reason for the difficulties in implementing a controlled thermonuclear reaction, since it is impossible to compress the plasma to the required state and keep it in this state for a long enough period of time
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