Parabolic systems of the "reaction-diffusion" type in the simulation of the processes of generation and propagation of the electromagnetic emission of the lithosphere and methods for their analysis
The problems of generation within geo-medium of electromagnetic disturbances of radiowave (kilo-hertz) region registered on the Earth's surface are considered in the paper. Attention is concentrated on mathematical aspects of the problem, namely on the analysis of earlier proposed non-linear eq...
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| Дата: | 2010 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | rus |
| Опубліковано: |
Subbotin Institute of Geophysics of the NAS of Ukraine
2010
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| Онлайн доступ: | https://journals.uran.ua/geofizicheskiy/article/view/117507 |
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| Назва журналу: | Geofizicheskiy Zhurnal |
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journalsuranua-geofizicheskiy-article-117507 |
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journalsuranua-geofizicheskiy-article-1175072020-10-07T10:59:36Z Parabolic systems of the "reaction-diffusion" type in the simulation of the processes of generation and propagation of the electromagnetic emission of the lithosphere and methods for their analysis Tsifra, I. M. Schuman, V.N. The problems of generation within geo-medium of electromagnetic disturbances of radiowave (kilo-hertz) region registered on the Earth's surface are considered in the paper. Attention is concentrated on mathematical aspects of the problem, namely on the analysis of earlier proposed non-linear equation of generation of the type "reaction - diffusion" which gives a description of the complicated excitation regimes and propagation of electromagnetic disturbances in the considered model of geo-medium - self-similar structure, which determines seismic and electromagnetic processes in it. Review is given on the physical level, and peculiarities of this equation are analyzed and possible ways of its solution. In order to simplify the equation under analysis it is proposed in the work to use its symmetry. Symmetry method allows reducing the equations (or their system) in partial derivatives of parabolic type to the study of a system of ordinary differential equations. For this purpose both classical theory-group approach and its generalization - conditional invariance method can be used. Subbotin Institute of Geophysics of the NAS of Ukraine 2010-10-01 Article Article application/pdf https://journals.uran.ua/geofizicheskiy/article/view/117507 10.24028/gzh.0203-3100.v32i5.2010.117507 Geofizicheskiy Zhurnal; Vol. 32 No. 5 (2010); 51-60 Геофизический журнал; Том 32 № 5 (2010); 51-60 Геофізичний журнал; Том 32 № 5 (2010); 51-60 2524-1052 0203-3100 rus https://journals.uran.ua/geofizicheskiy/article/view/117507/111554 Copyright (c) 2020 Geofizicheskiy Zhurnal https://creativecommons.org/licenses/by/4.0 |
| institution |
Geofizicheskiy Zhurnal |
| collection |
OJS |
| language |
rus |
| format |
Article |
| author |
Tsifra, I. M. Schuman, V.N. |
| spellingShingle |
Tsifra, I. M. Schuman, V.N. Parabolic systems of the "reaction-diffusion" type in the simulation of the processes of generation and propagation of the electromagnetic emission of the lithosphere and methods for their analysis |
| author_facet |
Tsifra, I. M. Schuman, V.N. |
| author_sort |
Tsifra, I. M. |
| title |
Parabolic systems of the "reaction-diffusion" type in the simulation of the processes of generation and propagation of the electromagnetic emission of the lithosphere and methods for their analysis |
| title_short |
Parabolic systems of the "reaction-diffusion" type in the simulation of the processes of generation and propagation of the electromagnetic emission of the lithosphere and methods for their analysis |
| title_full |
Parabolic systems of the "reaction-diffusion" type in the simulation of the processes of generation and propagation of the electromagnetic emission of the lithosphere and methods for their analysis |
| title_fullStr |
Parabolic systems of the "reaction-diffusion" type in the simulation of the processes of generation and propagation of the electromagnetic emission of the lithosphere and methods for their analysis |
| title_full_unstemmed |
Parabolic systems of the "reaction-diffusion" type in the simulation of the processes of generation and propagation of the electromagnetic emission of the lithosphere and methods for their analysis |
| title_sort |
parabolic systems of the "reaction-diffusion" type in the simulation of the processes of generation and propagation of the electromagnetic emission of the lithosphere and methods for their analysis |
| description |
The problems of generation within geo-medium of electromagnetic disturbances of radiowave (kilo-hertz) region registered on the Earth's surface are considered in the paper. Attention is concentrated on mathematical aspects of the problem, namely on the analysis of earlier proposed non-linear equation of generation of the type "reaction - diffusion" which gives a description of the complicated excitation regimes and propagation of electromagnetic disturbances in the considered model of geo-medium - self-similar structure, which determines seismic and electromagnetic processes in it. Review is given on the physical level, and peculiarities of this equation are analyzed and possible ways of its solution. In order to simplify the equation under analysis it is proposed in the work to use its symmetry. Symmetry method allows reducing the equations (or their system) in partial derivatives of parabolic type to the study of a system of ordinary differential equations. For this purpose both classical theory-group approach and its generalization - conditional invariance method can be used. |
| publisher |
Subbotin Institute of Geophysics of the NAS of Ukraine |
| publishDate |
2010 |
| url |
https://journals.uran.ua/geofizicheskiy/article/view/117507 |
| work_keys_str_mv |
AT tsifraim parabolicsystemsofthereactiondiffusiontypeinthesimulationoftheprocessesofgenerationandpropagationoftheelectromagneticemissionofthelithosphereandmethodsfortheiranalysis AT schumanvn parabolicsystemsofthereactiondiffusiontypeinthesimulationoftheprocessesofgenerationandpropagationoftheelectromagneticemissionofthelithosphereandmethodsfortheiranalysis |
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2024-04-21T19:41:48Z |
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2024-04-21T19:41:48Z |
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