Mineral physics observations suggest that distinct density and rheological differences exist between the crustal component of oceanic lithosphere and the underlying mantle. We have conducted numerical experiments to investigate the influence of both density and viscosity on the effectiveness of recycling of oceanic crust into the lower mantle. Confirming previous results, the density inversion ...

We study steady thin reaction fronts described by the Kuramoto-Sivashinsky equation that separates fluids of different densities. This system may lead to hydrodynamic instabilities as buoyancy forces interact with the propagating fronts in a two-dimensional slab. We use Darcy's law to describe the fluid motion in this geometry. Steady front profiles can be flat, axisymmetric, or nonaxisymmetric...

We present an approach for calculating the nonlinear propagation of surface plasmon polaritons in onedimensional planar waveguides consisting of a metal slab or a semi-infinite metal bounded by linear dielectrics, starting with an assumed third-order nonlinearity that characterizes the nonlinear response of the metal. With this approach we model the self-phase-modulation of surface plasmon pola...

Multiple overlapping thin slab acquisition (MOTSA) is a novel time-of-flight magnetic resonance (MR) angiography technique that combines many of the advantages of multiple-section two-dimensional and direct three-dimensional volume methods. To rigorously evaluate the vascular detail that can be obtained with MOTSA MR angiography, the authors have quantified the frequency of visibility of intrac...

The ac response of anisotropic high-T e superconductors in the mixed states is theoretically analyzed. The physical picture proposed by Geshkenbein, Vinokur and Fehrenbacher together with the theory of thermally assisted flux flow is generalized to include the material anisotropy. The results show that the transition in the real part and the peak in the imaginary part of magnetic ac permeabilit...

A new meshing strategy for two-dimensional space-time moving boundary methods is presented. The method breaks the space-time domain into time slabs, and tesselates each sequentially. Within each time slab, the mesh is generated by extruding the lower time plane, moving the boundary, adding and removing vertices near the boundary, and smoothing. Unlike other strategies, topological changes to th...