Abstract:
We reconstruct the stress tensor in the Earth's crust taking perturbations due to the motion of the Earth's hard core into account. In the first-order approximation, the density and pressure are functions of the total potential of all forces under consideration. We estimate the total free-energy balance and calculate the dependence of the free-energy density on latitude.
Citation:
B. V. Levin, V. P. Pavlov, “Field Theory Method for Reconstructing the Stress Tensor in the Earth with a Movable Core”, TMF, 128:3 (2001), 439–445; Theoret. and Math. Phys., 128:3 (2001), 1207–1212
\Bibitem{LevPav01}
\by B.~V.~Levin, V.~P.~Pavlov
\paper Field Theory Method for Reconstructing the Stress Tensor in the Earth with a Movable Core
\jour TMF
\yr 2001
\vol 128
\issue 3
\pages 439--445
\mathnet{http://mi.mathnet.ru/tmf507}
\crossref{https://doi.org/10.4213/tmf507}
\zmath{https://zbmath.org/?q=an:1113.74402}
\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 128
\issue 3
\pages 1207--1212
\crossref{https://doi.org/10.1023/A:1012359802957}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172327200008}
Linking options:
https://www.mathnet.ru/eng/tmf507
https://doi.org/10.4213/tmf507
https://www.mathnet.ru/eng/tmf/v128/i3/p439
This publication is cited in the following 5 articles:
Andreeva, MY, “Peculiarities of the Within-Year Distribution of Earthquakes in the Kuril Region”, Russian Journal of Pacific Geology, 3:5 (2009), 491
Antonov, VA, “Reply to the comment on V.A. Antonov and B.P. Kondrat'ev's paper “On the magnitude of the earth's inner core displacement””, Izvestiya-Physics of the Solid Earth, 42:1 (2006), 89
V. P. Pavlov, “Field Theory Approach to the Dynamics of a Continuous Medium: A Perturbation Theory”, Theoret. and Math. Phys., 141:1 (2004), 1427–1442
Levin, BW, “The influence of astronomical factors on energy density variations in the solid shell of the earth”, Izvestiya-Physics of the Solid Earth, 39:7 (2003), 601
Levin, BW, “On the 6-year tsunami periodicity in the Pacific”, Izvestiya-Physics of the Solid Earth, 38:12 (2002), 1030