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An overview of the two-phase-flow equations for magma dynamics

Presented by: 
John Rudge
Tuesday 16th February 2016 - 09:00 to 10:00
INI Seminar Room 1
The equations of two-phase-flow arise from statements of conservation of mass, momentum, and energy. In addition to the conservation laws, a series of phenomenological laws must be prescribed to describe the interaction between the two phases. It is the choice of these phenomenological laws that makes two-phase-flow theory challenging.

In this presentation I will outline the choices of phenomenological laws that have been used thus far in magma dynamics, and their physical consequences. I will give an overview of the basic physics of compaction, and the important role of the compaction length, the natural length-scale in compaction problems. I will highlight which areas of the theory seem robust, and which are in need of further development.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons