139 citations · 833 across the 40 of their papers we have counts for
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math.AP2009★ 86 cited
Lack of uniqueness for weak solutions of the incompressible porous media equation
Diego Cordoba, Daniel Faraco, Francisco Gancedo
In this work we consider weak solutions of the incompressible 2-D porous media equation. By using the approach of De Lellis-Székelyhidi we prove non-uniqueness for solutions in $L^…
math.AP2009★ 33 cited
Absence of squirt singularities for the multi-phase Muskat problem
Diego Cordoba, Francisco Gancedo
In this paper we study the evolution of multiple fluids with different constant densities in porous media. This physical scenario is known as the Muskat and the (multi-phase) Hele-…