On a particular solution of the non-linear Liouville equations.

Details On a particular solution of the non-linear Liouville equations. On a particular solution of the non-linear Liouville equations.

Aug 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993geoji.114..399s&link_type=abstract

Geophysical Journal International, Vol. 114, No. 2, p. 399 - 404

Mathematics

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Scientific paper

The rotational behaviour of a stratified viscoelastic planet is analysed by means of a quasi-analytical method. The authors' approach is particularly appropriate to study the long-term polar wander induced by internal loads, and in particular to study the effects due to time-dependent mantle convection. The authors focus on a simple explicit solution of the Liouville non-linear equations, in order to establish the relationships between internal rheological constitution of the planet and polar motion. Both the rate and the direction of polar wander are found to be extremely sensitive to the mantle stratification and in particular to the nature of the 670 km depth seismic discontinuity.

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