73 citations · 124 across the 3 of their papers we have counts for
4 papers
VENUSS: a unified finite-element model of solidifying lava
Janine Birnbaum, Einat Lev, Marc W. Spiegelman +2
The development of a solid rind or carapace at the surface of lava flows and domes results in a transition in deformation mechanism from dominantly viscous to elastic or plastic. T…
Solitary Wave Benchmarks in Magma Dynamics
Gideon Simpson, Marc Spiegelman
We present a model problem for benchmarking codes that investigate magma migration in the Earth's interior. This system retains the essential features of more sophisticated models,…
A Multiscale Model of Partial Melts 1: Effective Equations
Gideon Simpson, Marc Spiegelman, Michael I. Weinstein
In this paper a model for partial melts is constructed using two-scale homogenization theory. While this technique is well known to the mathematics and materials communities, it is…
Degenerate dispersive equations arising in the study of magma dynamics
Gideon Simpson, Marc Spiegelman, Michael I. Weinstein
An outstanding problem in Earth science is understanding the method of transport of magma in the Earth's mantle. Models for this process, transport in a viscously deformable porous…