Topological methods in the problem of the one type of earthquakes prediction

Authors

  • Babeshko V.A. Kuban State University, Krasnodar, Российская Федерация
  • Evdokimova O.V. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация
  • Babeshko O.M. Kuban State University, Krasnodar, Российская Федерация

UDC

539.3

Abstract

A boundary value problem about the aggregate behavior of lithospheric plates, located on a deformable substrate, while changing their relative position is considered. On the example of two semi-infinite lithospheres' plates with straight boundaries, which are able to approach, we clarify the behavior properties of such block structures that can conduct to earthquakes. The boundary value problem was reduced to functional equations transformed to pseudo differential equations applying the topological method. The factorization of the matrix-functions were made and the exterior forms were used to calculate the Lere residue. The solving of the Wiener and Hopf equations were performed and the asymptotic behavior of the solutions were received. Domestic and foreign seismologists did not previously note them. The properties of such earthquakes are described.

Keywords:

localization, stress-strain state, factorization, topology, boundary-value problems, differential equations, exterior forms

Acknowledgement

Отдельные фрагменты работы выполнены при поддержке грантов РФФИ (14-08-00404, 13-01-12003-м, 13-01-96502, 13-01-96505, 13-01-96508, 13-01-96509, 15-01-01379, 15-08-01377), гранта Президента РФ НШ-1245.2014.1, Программы Президиума РАН № 3 и № 43.

Author Infos

Vladimir A. Babeshko

академик РАН, д-р физ.-мат. наук, зав. кафедрой математического моделирования Кубанского государственного университета, директор Научно-исследовательского центра прогнозирования и предупреждения геоэкологических и техногенных катастроф Кубанского государственного университета, заведующий лабораторией Южного федерального университета

e-mail: babeshko41@mail.ru

Olga V. Evdokimova

д-р физ.-мат. наук, главный научный сотрудник Южного научного центра РАН

e-mail: evdokimova.olga@mail.ru

Olga M. Babeshko

д-р физ.-мат. наук, главный научный сотрудник Научно-исследовательского центра прогнозирования и предупреждения геоэкологических и техногенных катастроф Кубанского государственного университета

e-mail: babeshko49@mail.ru

References

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Issue

2015. No. 2

Pages

8-13

Submitted

2015-05-31

Published

2015-06-25

How to Cite

Babeshko V.A., Evdokimova O.V., Babeshko O.M. Topological methods in the problem of the one type of earthquakes prediction. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2015, no. 2, pp. 8-13. (In Russian)

Copyright (c) 2015 Babeshko V.A., Evdokimova O.V., Babeshko O.M.

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