Elements of non-smooth analysis in the theory of waves

Hydrodynamic models of the ocean can be very different. Assuming that the liquid is incompressible, it can be considered to be inhomogeneous. If we consider the planetary scales of the phenomenon, then it is necessary to take into account the rotation of the Earth. One of the characteristic models of ocean dynamics is the consideration of the irrotational motion of two layers of an ideal incompressible homogeneous fluid. In this case, a qualitative evaluation of the parameters of an agitated fluid reduces to estimating the parameters of the solution of the corresponding nonlinear boundary value problem of potential theory. This approach to the problems of mathematical modeling of a number of physical phenomena caused by the wave motion of a liquid leads To the need to find theoretically the parameters of the process of propagation of internal and surface waves of the corresponding mathematical model.