The purpose of this research is to construct a solution of the boundary value problem for a system of nonlinear partial differential equations that simulates the quasi-geostrophic motion in the layer of an ideal incompressible electrically conductive fluid enclosed between space-changing and time-varying surfaces, taking into account inertial forces.… (More)

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… (More)