Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves
Author(s): Castro, Angel; Cordoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; Lopez-Fernandez, Maria
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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. |
Publication Date: | Mar-2012 |
Electronic Publication Date: | 1-Mar-2012 |
Citation: | Castro, Angel, Cordoba, Diego, Fefferman, Charles, Gancedo, Francisco, Lopez-Fernandez, Maria. (2012). Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves. ANNALS OF MATHEMATICS, 175 (909 - 948). doi:10.4007/annals.2012.175.2.9 |
DOI: | doi:10.4007/annals.2012.175.2.9 |
ISSN: | 0003-486X |
EISSN: | 1939-8980 |
Pages: | 909 - 948 |
Type of Material: | Journal Article |
Journal/Proceeding Title: | ANNALS OF MATHEMATICS |
Version: | Author's manuscript |
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