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arXiv · 1810.11798

On an asymptotic model for free boundary Darcy flow in porous media

Rafael Granero-Belinchón·Stefano Scrobogna
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Abstract

We provide a rigorous mathematical study of an asymptotic model describing Darcy flow with free boundary in a low amplitude/large wavelength approximation. In particular, we prove several well-posedness results in critical spaces. Furthermore, we also study how the solution decays towards the flat equilibrium.

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Rafael Granero-Belinchón, Stefano Scrobogna. 2018-10-28. On an asymptotic model for free boundary Darcy flow in porous media. https://arxiv.org/abs/1810.11798

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