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math.AP2014
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…
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…