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A maximum principle for the Muskat problem for fluids with different densities

 

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Opened Access A maximum principle for the Muskat problem for fluids with different densities
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Author: Córdoba Gazolaz, Diego
Gancedo García, Francisco
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2009-03
Published in: Communications in Mathematical Physics
Document type: Article
Abstract: We consider the fluid interface problem given by two incompressible fluids with different densities evolving by Darcy’s law. This scenario is known as the Muskat problem for fluids with the same viscosities, being in two dimensions mathematically analogous to the two-phase Hele-Shaw cell. We prove in the stable case (the denser fluid is below) a maximum principle for the L∞ norm of the free boundary.
Cite: Córdoba Gazolaz, D. y Gancedo García, F. (2009). A maximum principle for the Muskat problem for fluids with different densities. Communications in Mathematical Physics
Size: 155.1Kb
Format: PDF

URI: http://hdl.handle.net/11441/45187

DOI: 10.1007/s00220-008-0587-1

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