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5References
1. Gurbatov S.N., Saichev A.I., Yakushkin I.G. Nonlinear waves and one-dimensional turbulence in media without
dispersion // UFN, 1983, vol. 141, pp. 221-255.
2. Erkinova D.A., Imomnazarov B.Kh., Imomnazarov Kh.Kh. A one-dimensional system of equations of the Hopf type
// Regional scientific and practical. conf. "TOGU-Start: fundamental and applied research of young people", April 12-16,
2021, Khabarovsk, pp. 61-69.
3. Imomnazarov Sh., Imomnazarov Kh., Kholmurodov A., Dilmuradov N., Mamatkulov M. On a Problem Arising in a
Two-Fluid Medium // International Journal of Mathematical Analysis and Applications, 2018, No. 5(4), pp. 95-100.
4. Imomnazarov Kh.Kh., Mikhailov A.A. Rakhmonov T.T. Simulation of the seismic wave propagation in porous media
described by three elastic parameters // SEMI, 2019, �. 16, pp. 591-599. DOI 10.33048/semi.2019.16.037
5. Baishemirov Z., Tang, J.-G., Imomnazarov K., Mamatqulov M. Solving the problem of two viscous incompressible
fluid media in the case of constant phase saturations // Open Engineering, 2020, 6(1), pp. 742�745.
Three-dimensional stationary flows of viscous fluids of a two-phase continuum with phase equilibrium
with respect to pressure with a singular source in the disipative case
Sh. Kh. Imomnazarov1, B. Kh. Imomnazarov2, B. B. Khudainazarov3
1Institute of Computational Mathematics and Mathematical Geophysics, SB RAS
2Novosibirsk State University
3National University of Uzbekistan named after Mirzo Ulugbek, Tashkent
Email: imom@omzg.sscc.ru
DOI 10.24412/cl-35065-2021-1-01-04
In this paper, an overdetermined system of equations is obtained from the system of non-stationary equa-
tions of two-velocity hydrodynamics in the dissipative case [1-4]. It is believed that the energy dissipation oc-
curs due to the analogue of the Darcy. Construction of a solution for describing three-dimensional stationary
flows of viscous fluids of a two-phase continuum with phase equilibrium with respect to pressure with a singu-
lar source in the dissipative case.
The support of the Russian Science Foundation under grant � 21-51-15002 is gratefully acknowledged.
References
1. Imomnazarov Kh.Kh., Imomnazarov Sh.Kh., Mamatkulov, M.M., Chernykh, E.G. Fundamental solution for a
stationary equation of two-velocity hydrodynamicswith one pressure // Sib. Zh. Ind. Mat, 2014, v. 17, pp. 60-66.
2. Imomnazarov Sh., Imomnazarov Kh., Kholmurodov A., Dilmuradov N., Mamatkulov M. On a Problem Arising in a
Two-Fluid Medium // International Journal of Mathematical Analysis and Applications, 2018, No. 5(4), pp. 95-100.
3. Imomnazarov Kh.Kh., Mikhailov A.A. Rakhmonov T.T. Simulation of the seismic wave propagation in porous media
described by three elastic parameters // SEMI, 2019, �. 16, pp. 591-599. DOI 10.33048/semi.2019.16.037
4. Baishemirov Z., Tang, J.-G., Imomnazarov K., Mamatqulov M. Solving the problem of two viscous incompressible
fluid media in the case of constant phase saturations // Open Engineering, 2020, 6(1), pp. 742�745.
Numerical modeling and physical effects of interwave interactions
M. S. Khairetdinov, G. M. Shimanskaya
Institute of Computational Mathematics and Mathematical Geophysics SB RAS
E-mail: marat@opg.sscc.ru
DOI 10.24412/cl-35065-2021-1-02-89
The problems of studying the interaction of conjugate geophysical wave fields of different nature, arising
from natural and man-made sources simultaneously in different environments: seismic in the lithosphere,
acoustic in the atmosphere, hydroacoustic in the hydrosphere, optical, meteorological in the atmosphere are
considered. The solution of the problems under consideration is due to the urgent problems of environmental
monitoring in connection with noise pollution by various types of transport, industrial and natural sources. As
a result, geoecological risks are generated that affect the social environment, first of all, on humans, as well as
on buildings. Multivariate numerical models of interwave interactions and their mechanisms are presented
and analyzed. As a result of interactions, various physical effects are generated that determine the degree of
influence of conjugate wave fields on the medium. On the basis of numerical modeling and the results of field
experiments, estimates of increased geoecological risks are given.
This work was financially supported by the Russian Foundation for Basic Research (project code 20-07-00861A).
References
1. L.M. Brekhovskikh, V.V. Goncharov. Introduction to Continuum Mechanics. M .: "Science", 1982, p. 335.
2. L.M. Brekhovskikh, Yu.P. Lysanov. Theoretical foundations of ocean acoustics. L .: Gidrometeoizdat, 1982, p. 264.
3. Marat S. Khairetdinov, Valery V. Kovalevsky, Gulnara M. Shimanskaya, Galina F. Sedukhina, Alexander A.
Yakimenko. Active monitoring technology in studying the interaction of geophysical fields. // Active Geophysical
Monitoring. Elsevier (Second Edition), Chapter 3.3, 2020. P. 207-222. DOI: https://doi.org/10.1016/B978-0-08-102684-
7.00010-8 ISBN: 978-008102684-7.
4. Khairetdinov, M.S., Poller, B.V., Borisov, B.D., Britvin, A.V. Acoustooptical Interaction on Infrasound in Problems of
Laser Ecological Monitoring. Optoelectronics, Instrumentation and Data Processing, 2020, 56 (6), pp. 634-641.
Modeling of the Sun's magnetic field from the kinematics point of view-the gravitational ion dynamo model
V. A. Kochnev
Institute of computational modeling SB RAS
Email: kochnev@icm.krasn.ru
DOI 10.24412/cl-35065-2021-1-01-05
The first of a large number of works on the generation of the magnetic field of the Sun (MPS) and planets
is considered to be the work (Lehrmor 1920), which discusses the need to introduce a self-excitation mecha-
nism to amplify a weak electron current and obtain a strong MPC. In many subsequent works, models of self-
excitation of an electronic current are investigated. In the previous [1] and this paper, the current generating
the MPC is the motion of a positively charged liquid or gas. It is known that the current density is proportional
to the charge density and the velocity of their movement. According to the known estimates of the parame-
ters of the structure of the Sun the calculated charge densities and currents create magnetic fields (MP) for
seven of the top layers of the Sun: chronosphere, chromosphere, photosphere and four layers of the convec-
tive zone. The maximum permissible estimates of currents and MPS are obtained. From these estimates of the
kinematics-gravitational ion dynamo model, it follows that all layers of the model, taking into account certain
restrictions, can participate in the generation of MPS.
References
1. Kochnev V.A. Kinematic-gravitational ion model of planetary dynamo. J. of Physics Conference Series. October 2018.
Numerical characteristics of technogenic noise in geoecological monitoring tasks
O. A. Kopylova
Institute of Computational Mathematics and Mathematical Geophysics SB RAS
Email: okkplv@yandex.ru
DOI 10.24412/cl-35065-2021-1-02-91
One of the tasks of geoecological monitoring of the environment is related to the assessment of levels of
technogenic noise representing a danger to people.
