Mathematical Modeling in Geophysics, № 25, 2023

A one-dimensional system of the Hopf-type equations is considered. Axial solutions to problems in the field of modeling two-fluid interactions are sought. A nonlinear system of ordinary differential equations is obtained. Direct and inverse problems for the obtained ODE are considered. A theorem on local solvability is proven.

The studying the regions of global seismic belts, to which giant impact structures belong, confirms the hypothesis of the possible attachment to the Earth of its satellite at the Cretaceous-Paleogene boundary and the coincidence of these belts and structures to the routes of its tangent flight along the Med-Eocene position...

The Cauchy problem for a one-dimensional homogeneous system of the Hopf-type equations arising in a two-fluid medium is considered. It is believed that energy dissipation occurs only due to the friction coefficient (analogous to Darcy) and the Cauchy data are given in the form of a finite trigonometric Fourier series...

A hypothesis is formulated about the formation of Kolpanskoye Lake, located in the vicinity of the city of Gatchina (near St. Petersburg, Russia) as a result of a meteorite fall. An approximate calculation of meteorite characteristics was performed using the energy model of the meteorite/ground dynamic system and nonlinear programming...

A study to identify the spatio-temporal relationship between strong MS ≥ 7 seismic shocks and the preceding moderate mid-depth seismicity has led to the need to consider territories that go far beyond the area of preparation of its individual foci. First, there are the areas along the global seismolineaments...

A dynamic inverse problem for a one-dimensional system of the Hopf-type equations is considered. A theorem on local solvability in the class of functions analytic in the variable x is proved.