Mathematics

ON THE STABILITY OF THE BOUNDARY VALUE PROBLEM FOR EVEN ORDER EQUATION

A.V. Yuldasheva

In this paper we consider ill-posed problem for one even-order equation. The stability of the problem is proved with the additional assumption.

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Mathematical modelling

MATHEMATICAL MODELING OF THE LAW OF CLOUD DROPLET CHARGE CHANGE IN FRACTAL ENVIRONMENT

T.S. Kumykov, R.I. Parovik

The paper proposes a new mathematical model of cloud droplet charge change 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.

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MATHEMATICAL MODELING OF NONLOCAL OSCILLATORY DUFFING SYSTEM WITH FRACTAL FRICTION

R.I. Parovik

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.

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Physics

NONPOTENTIAL GEOMAGNETIC FIELD, SCHMIDT-BAUER CURRENTS AND ATMOSPHERIC ELECTRIC CURRENT

V.V. Kuznetsov

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. ...

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ROCK BUMP – THE REASON OF METHANE OUT BURST IN THE COAL MINE?

V.V. Kuznetsov

The proposed model presents a rock bump (a technogeneous earthquake) as a shock wave emergence on the inside wall of a mine. In such a case, an unloading, tensile wave is generated which moves in the opposite (into the wall) direction. ...

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HIGH-FREQUENCY ACOUSTIC EMISSION EFFECT

Yu. V. Marapulets

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. ...

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SPECIAL ASPECTS OF CALIBRATION OF IONIZING RADIATION DETECTORS USED FOR SOIL RADON MONITORING

V.S. Yakovleva, P.M. Nagorskiy

The results of calibration of α−, β - and γ-radiation detectors mounted into a borehole at the depths of 0.5 and 1 m, which are destined for soil radon monitoring, are represented and analyzed. The radon isotope radiometer RTM 2200 (SARAD GmbH, Germany) was used for calibration. ...

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THE DEVELOPMENT OF RADIATION MONITORING TECHNOLOGY FOR URBAN ENVIRONMENT

V.S. Yakovleva, P.M. Nagorskiy

The results of monitoring of meteorological and radiation parameters in Tomsk Observatory of Radioactivity and Ionizing Radiation are presented and analyzed in this work. ...

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