Topological methods in the problem of the one type of earthquakes prediction
UDC
539.3Abstract
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 formsFunding information
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.
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Dates
Submitted
May 31, 2015
Accepted
June 12, 2015
Published
June 25, 2015
How to Cite
[1]
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, № 2, pp. 8–13.
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Copyright (c) 2015 Бабешко В.А., Евдокимова О.В., Бабешко О.М.
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