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Breakdown of smoothness for the Muskat problem

 

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Opened Access Breakdown of smoothness for the Muskat problem
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Author: Castro Martínez, Ángel
Córdoba Gazolaz, Diego
Fefferman, Charles L.
Gancedo García, Francisco
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2013-06
Published in: Archive for Rational Mechanics and Analysis, 208 (3), 805-909.
Document type: Article
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.
Cite: 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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URI: http://hdl.handle.net/11441/45173

DOI: 10.1007/s00205-013-0616-x

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