摘要
We study the dynamics of the interface between two incompressible fluids in a two-dimensional porous medium whose flow is modeled by the Muskat equations. For the two-phase Muskat problem, we establish global well-posedness and decay to equilibrium for small H2 perturbations of the rest state. For the one-phase Muskat problem, we prove local well-posedness for H2 initial data of arbitrary size. Finally, we show that solutions to the Muskat equations instantaneously become infinitely smooth.
原文 | ???core.languages.en_GB??? |
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頁(從 - 到) | 32-104 |
頁數 | 73 |
期刊 | Advances in Mathematics |
卷 | 286 |
DOIs | |
出版狀態 | 已出版 - 2 1月 2016 |