Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves
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Open Access
- 1 March 2012
- journal article
- research article
- Published by Annals of Mathematics in Annals of Mathematics
- Vol. 175 (2) , 909-948
- https://doi.org/10.4007/annals.2012.175.2.9
Abstract
The Muskat problem models the evolution of the interface between two different fluids in porous media. The Rayleigh-Taylor condition is natural to reach linear stability of the Muskat problem. We show that the Rayleigh-Taylor condition may hold initially but break down in finite time. As a consequence of the method used, we prove the existence of water waves turning.Keywords
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