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Degenerate dispersive equations arising in the study of magma dynamics

2006; IOP Publishing; Volume: 20; Issue: 1 Linguagem: Inglês

10.1088/0951-7715/20/1/003

ISSN

1361-6544

Autores

Gideon Simpson, Marc Spiegelman, Michael I. Weinstein,

Tópico(s)

Navier-Stokes equation solutions

Resumo

An outstanding problem in Earth science is understanding the method of transport of magma in the Earth's mantle. Two proposed methods for this transport are percolation through porous rock and flow up conduits. Under reasonable assumptions and simplifications, both means of transport can be described by a class of degenerate nonlinear dispersive partial differential equations of the form: where ϕ(z, 0) > 0 and ϕ(z, t) → 1 as z → ±∞.

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