Linear and weakly nonlinear problems of the theory of thermal convection in the Earth's mantle

Details Linear and weakly nonlinear problems of the theory of thermal convection in the Earth's mantle Linear and weakly nonlinear problems of the theory of thermal convection in the Earth's mantle

Jan 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988pepi...50...92b&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 50, Issue 1, p. 92-98.

Physics

7

Scientific paper

The thermoconvective instability of the upper thermal boundary layer formed by the large-scale convection of the mantle is analysed. The creep in the mantle is assumed transient when strains are small. The linear hereditary medium is accepted as a rheological model which describes the mantle's transient creep. At this rheology the instability is oscillatory and the supercriticality, as suggested by the postglacial rebound data, is small. The application of nonlinear stability theory permits derivation of an asymptotic solution in the form of a steady convective oscillation the amplitude of which is independent of the initial conditions. The supercriticality is considered as a small parameter and perturbation methods are used. The amplitude and the frequency of oscillation are found as functions of the supercriticality.

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