116 citations · 406 across the 19 of their papers we have counts for
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A Scalar Conservation Law for Plume Migration in Carbon Sequestration
Elisabeth Brown, Michael Shearer
A quasi-linear hyperbolic partial differential equation with a discontinuous flux models geologic carbon dioxide migration and storage. Dual flux curves characterize the model, giv…
Traveling Waves for Conservation Laws with Cubic Nonlinearity and BBM Type Dispersion
Michael Shearer, Kimberly R. Spayd, Ellen R. Swanson
Scalar conservation laws with non-convex fluxes have shock wave solutions that violate the Lax entropy condition. In this paper, such solutions are selected by showing that some of…
The Buckley-Leverett Equation with Dynamic Capillary Pressure
K. Spayd, M. Shearer
The Buckley-Leverett equation for two phase flow in a porous medium is modified by including a dependence of capillary pressure on the rate of change of saturation. This model, due…
Scalar conservation laws with nonconstant coefficients with application to particle size segregation in granular flow
Lindsay B. H. May, Michael Shearer, Karen E. Daniels
Granular materials will segregate by particle size when subjected to shear, as occurs, for example, in avalanches. The evolution of a bidisperse mixture of particles can be modeled…