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math.AP2014
Systems of partial differential equations in porous medium
Tuomo Kuusi, Léonard Monsaingeon, Juha Videman
We investigate systems of degenerate parabolic equations idealizing reactive solute transport in porous media. Taking advantage of the inherent structure of the system that allows…
math.AP2014
An algorithm for one-dimensional Generalized Porous Medium Equations: interface tracking and the hole filling problem
Leonard Monsaingeon
Based on results of E. DiBenedetto and D. Hoff we propose an explicit finite difference scheme for the one dimensional Generalized Porous Medium Equation $\partial_t u=\partial_{xx…