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arXiv · 1904.00294

Growth in the Muskat problem

Rafael Granero-Belinchón·Omar Lazar
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Abstract

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 initial data in critical spaces ($\dot{W}^{1,\infty}$ and $\dot{H}^{3/2}$).

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Rafael Granero-Belinchón, Omar Lazar. 2019-03-30. Growth in the Muskat problem. https://arxiv.org/abs/1904.00294

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