## Two-phase flows in an inclined channel

The application of a hydrodynamic model of the two-velocity media flow of to non-stationary problems of the heterophase flows motion in channels is considered. Various flow regimes of such media are studied for given penetration rates for initially inhomogeneous flow at various values of channel inclination.

The presented mathematical model...

## Modeling solute transport in poroelastic shale

The paper is devoted to modeling the solvent and solute transfer in a chemically inert elastically deformable rock, the model takes into account only the variation in stress and pore pressure. Chemical effects are taken into account by changing the pore pressure and deformation of rocks in the transport equations...

## Capturing of the tsunami wave energy by islands

The process of capturing wave energy by a round-shaped island with a conical relief for the surrounding bottom is studied in this work. The kinematics of the tsunami wave having initially straight front near such an island was investigated by the method of step-by-step orthogonal advancement of wave front. An...

## On the correlation of creepex and magnitude in intermediate-depth swarm seismicity before and after large crustal earthquakes

A study was continued to identify the spatial-temporal relationship
between strong crustal earthquakes and moderate intermediate-depth seismicity
preceding them. In the field of preparation of these shocks, a pattern of direct
correlation of graphs *MS(t)* and *Cr(t)* has been revealed, testifying creation the
conditions for strictly deterministic influence...

## On the impact theory of mass extinction

The impact theory of mass extinction for Earth's biota has not yet received either its final confirmation or complete rejection and remains a working hypothesis, often explaining what is not explicable by other theories. Among all the five mass extinctions recorded in the stratigraphic annals of the Earth, only the...

## Solvability of inverse dynamic problems for a one-dimensional system of Hopf-type equations

Inverse dynamic problems for a one-dimensional system of Hopf-type equations are considered. Theorems on the solvability of the considered problems in the class of analytic functions are proved.

## Dynamic two-phase flows in natural systems

The paper considers applications of a two-velocity model of hydrody- namics for a two-phase medium for describing natural geological systems, such as movement of magma melts in magma channels, the flow of a river and the erosion of an unfixed sandy river bottom. The study deals with a test problem...

## Two-phase compressible flow in a rectangular channel

The paper investigates a mathematical model of a two-phase medium under the assumption that the phases are in equilibrium with respect to pressure and temperature. Dissipative effects are determined by interfacial friction. In the one-dimensional case, a group analysis of the dissipative system of equations for a two-phase medium is...

## Suspension hydrodynamic equations: two-phase models

Two-velocity models of suspension hydrodynamics are considered, using the equality condition for chemical potentials of the phases or without this condition. The model equations are obtained by the conservation law method and are thermodynamically consistent under the assumption of one pressure or two pressure systems. Models are compared numerically on...