Abstract
The results presented in this paper were obtained in the course of an investigation of a simple model problem of the time-dependent Earth s gravity field, but they are equally applicable to other problems governed by thermo-magnetohydro-dynamics and geophysics. The author has studied the problem of the existence, uniqueness and regularity of the solution of the variational problem of the coupled gravity field, velocity field in thermo-Bingham’s fluid (by which the Earth s interior is simulated) and a quasi-stationary magnetic field.
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References
Duvaut, G., Lions, J.L., 1972,“Les inéquations en mécanique et en physique,” Dunod, Paris.
Duvaut, G., Lions, J.L., 1972, Inéquations en Thermoélasticité et Magnetohydrodynamique, Archive for Rational Mechanics and Analysis, 46: 241–279.
Nedoma, J., 1986, On the geodynamic model of the Earth and the plate tectonic hypothesis I-III. Gerlands Beitr. Geophysik, 95,1:36–62, 95,2:89–105.
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© 1988 Plenum Press, New York
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Nedoma, J. (1988). On the New Problem in the Potential Gravity Theory. In: Král, J., Lukeš, J., Netuka, I., Veselý, J. (eds) Potential Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0981-9_33
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DOI: https://doi.org/10.1007/978-1-4613-0981-9_33
Publisher Name: Springer, Boston, MA
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