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Published July 1959 | Published
Journal Article Open

General solutions of equations of some geophysical importance

Takeuchi, H.

Abstract

General solutions are obtained in rectangular, circular cylindrical, and spherical coördinates for the equations of motion of a homogeneous isotropic elastic body (in § 2), the equations of the corresponding statical deformations (§ 3), the equations of motion of an incompressible viscous fluid (§ 4), the equations of the corresponding stationary motion (§ 5), and Maxwell's equations for a homogeneous isotropic conductor (§ 6).

Additional Information

Copyright © 1959, by the Seismological Society of America. Manuscript received for publication February 3, 1959. This study was carried out at the Seismological Laboratory of the California Institute of Technology. The author wishes to thank Dr. F. Press for the opportunity to visit there and for valuable suggestions throughout the study, to Mr. J. Nordquist for reading through the manuscript, and to the Alfred P. Sloan Foundation for financial support.

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August 19, 2023
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