## About one combined inverse problem for the equations of porous media and Maxwell's equations

Let us consider the propagation of magnetoacoustic waves in the porous media saturated with electrolyte in the case when the loss of energy occurs due to electroconductivity, intercomponental friction coefficient and electrokinetic effect.

## The fundamental solution of the stationary two-velocity hydrodynamics equation with one pressure

The fundamental solution to describe the three-dimensional steady-state flows of viscous fluids of the two-velocity continuum with pressure phase equilibrium has been obtained.

## A geoinformation technology for assessment of the ecological risk of powerful technogenic and natural explosions

This paper presents the results of experimental investigations of the original ecologically safe approach as related to the assessment of the geoecological risk from powerful mass explosions for the social and natural environment. In this approach, seismic vibrators are used as sources imitating explosions but having, in contrast to them,...

## The fast method for a rough tsunami amplitude estimation

The method for estimating a tsunami height using the wave front kinematics computation has been developed and tested. This method is based on an orthogonal advance of computational points located along a moving tsunami wave front line. Precise algorithms for determining these points movement direction and an addition of new...

## On divergence representations of the Gaussian and the mean curvature of surfaces and applications

The new meaning or a property of the Gaussian and of the mean
curvature of surfaces forming a family in terms of the vector analysis has been
discovered. The divergence representations were found for the mean curvature *H* = *H(x; y; z)* and the Gaussian curvature of *K* = *K(x; y; z)* of the...

## Divergence formulas (conservation laws) for families of curves and surfaces and applications

The divergence formulas we have obtained (differential conservation
laws) of the form div * F* = 0 for an arbitrary smooth field of unit vectors

**τ**(x; y; z), for a family of spatial curves as well as {

*L*τ} for a family of surfaces {

*S*τ} continuously...

## The new tasks of structural geomorphology resolved by the ENDDB geoinformation system

The use of the shady relief model of the ENDDB-program (the Earth's Natural Disasters Database) and the data from “Global marine gravity”, V18.1 for constructing the relief and the shaded gravity anomaly maps allows us to visually reveal the new morpho-structural elements of astroblemes or to confirm the earlier found...

## Properties of the inverse problem operator for reconstructing the tsunami source

This paper outlines some aspects of an approach to reconstructing an initial water elevation field that generates a tsunami. Recently, the devastating tsunamis have acutely put forward the problem for their timely warning and, as consequence, the importance of the accurate tsunami simulation. Mathematical modeling of tsunamis is to provide...