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math.AP2010
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…
math.AP2010★ 22 cited
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…