41 citations · 85 across the 9 of their papers we have counts for
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math.AP2019★ 41 cited
Paralinearization of the Muskat equation and application to the Cauchy problem
Thomas Alazard, Omar Lazar
We paralinearize the Muskat equation to extract an explicit parabolic evolution equation having a compact form. This result is applied to give a simple proof of the local well-pose…
math.AP2019
Growth in the Muskat problem
Rafael Granero-Belinchón, Omar Lazar
We review some recent results on the Muskat problem modelling multiphase flow in porous media. Furthermore, we prove a new regularity criterion in terms of some norms of the initia…