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 TMF, 2001, Volume 128, Number 3, Pages 439–445 (Mi tmf507)

Field Theory Method for Reconstructing the Stress Tensor in the Earth with a Movable Core

B. V. Levina, V. P. Pavlovb

a P. P. Shirshov institute of Oceanology of RAS
b Steklov Mathematical Institute, Russian Academy of Sciences

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.

DOI: https://doi.org/10.4213/tmf507

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English version:
Theoretical and Mathematical Physics, 2001, 128:3, 1207–1212

Bibliographic databases:

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

Citation in format AMSBIB
\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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000172327200008} 

• http://mi.mathnet.ru/eng/tmf507
• https://doi.org/10.4213/tmf507
• http://mi.mathnet.ru/eng/tmf/v128/i3/p439

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Levin, BW, “On the 6-year tsunami periodicity in the Pacific”, Izvestiya-Physics of the Solid Earth, 38:12 (2002), 1030
2. 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
3. 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
4. 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
5. Andreeva, MY, “Peculiarities of the Within-Year Distribution of Earthquakes in the Kuril Region”, Russian Journal of Pacific Geology, 3:5 (2009), 491
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