In this paper not well posed problem for the even-order equation is studied. The
stability of the problem is restored by additional conditions and conditions to domain.
The paper proposed a new mathematical model of the variation of the charge cloud drops in storm clouds. The model takes into account the fractal properties of storm clouds, and the solution was obtained using the apparatus of fractional calculus
The paper considers a nonlinear fractal oscillatory Duffing system with friction. The numerical analysis of this system by a finite-difference scheme was carried out. Phase portraits and system solutions were constructed depending on fractional parameters
According to the developing model, the nonpotential part of the geomagnetic field is due to the vertical current associated with positive charge transfer by water vapour during plant and water surface evaporation in the same direction and with negative rain current in the opposite direction. These two processes are quite irregular both in space and in time, but the total charge transfered upwards to the clouds is almost equal to the charge transfered downwards to the Earth surface. Nevertheless, these processes result in the accumulation of positive charge in the lower ionosphere at the height of about 90 km.
The model, which hit a mountain (technogenic earthquakes) — is presented as a way out of the shock wave at the inner wall of the shaft. This raises the unloading wave, stretching, moving backward (deep wall) direction. Shock wave accompanied by the movement of the medium in the propagation direction of the shock waves at a speed considerably less than that of the wave. The totality of phenomena occurring on the inner surface of the mine, leads to the release of coal dust and methane dissolved in the coal, which is the cause of the explosion.
Complex monitoring of acoustic emission (AE) in the sound frequency range has been
carried out in the Kamchatka peninsular since 1999. In the course of the investigation, the existence of acoustic emission effect in sedimentary rocks was detected. It consists in the increase of geoacoustic radiation intensity in the frequency range from hundreds of hertz to the first tens of kilohertz during the growth of rock mass deformation rate. This effect was stably observed at several spaced stations and appears the most vividly at the final stage of earthquake preparation. During the acoustic emission effect, clear anisotropy of geoacoustic radiation directivity occurs which is determined by the source orientation of acoustic oscillations in the stress field of near surface sedimentary rocks.
The results of calibration of α-, β- and γ-radiation detectors mounted into borehole at depths of 0.5 and 1 m, which are destined for soil radon monitoring, are represented and analyzed. The radon isotopes radiometer RTM 2200 (SARAD GmbH, Germany) was used for the calibration aim.
The results of monitoring of meteorological and radiation parameters in Tomsk Observatory of Radioactivity and Ionizing Radiation are presented and analyzed in this work. The advantages of new radiation monitoring technology including the investigation of radiation parameters vertical profiles are presented. The verification of existing soil and atmosphere radon isotopes transport models were conducted for urban environment with help of analysis results of radiation monitoring data