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math.DG2013
Geometric Methods in the Analysis on Non-linear Flows in Porous Media (Preliminary Version)
Eugenio Aulisa, Akif Ibragimov, Magdalena Toda
Over the past few years, we developed a mathematically rigorous method to study the dynamical processes associated to nonlinear Forchheimer flows for slightly compressible fluids.…
math.DG2013
Geometric framework for modeling nonlinear flows in porous media, and its applications in engineering
Eugenio Aulisa, Akif Ibragimov, Magdalena Toda
This work represents an application of constant mean curvature graphs (as solutions of the mean curvature PDE) to non-linear non-Darcy flows in porous media. It relates time invari…