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Generation and Creep of Magma in the Earth

A. C. Fowler
SIAM Journal on Applied Mathematics
Vol. 49, No. 1 (Feb., 1989), pp. 231-245
Stable URL: http://www.jstor.org/stable/2102068
Page Count: 15
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Generation and Creep of Magma in the Earth
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Abstract

This paper describes a model representing the process of partial melting of deforming mantle rock, and the associated melt migration due to differential buoyancy. The model is a double free-boundary problem of degenerate type, and is typical of such slow, reactive two-phase flows. Prescription of boundary conditions is problematical, but in some sense the model picks its own; a realistic asymptotic solution involving rather novel boundary layer behavior is presented, for the case of two fixed boundaries, and it is then shown how the free boundaries can be determined a posteriori. The implications for geophysical behaviour are discussed.

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