Article
Breakdown of smoothness for the Muskat problem
Author/s | Castro Martínez, Ángel
Córdoba Gazolaz, Diego Fefferman, Charles L. Gancedo García, Francisco |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2013-06 |
Deposit Date | 2016-09-21 |
Published in |
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Abstract | In this paper we show that there exist analytic initial data in the stable regime for the Muskat problem such that the solution turns to the unstable regime and later breaks down, i.e., no longer belongs to C4. |
Project ID. | MTM2008-03754
info:eu-repo/grantAgreement/EC/FP7/203138 DMS-0901040 DMS-0901810 |
Citation | Castro Martínez, Á., Córdoba Gazolaz, D., Fefferman, C.L. y Gancedo García, F. (2013). Breakdown of smoothness for the Muskat problem. Archive for Rational Mechanics and Analysis, 208 (3), 805-909. |
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