Article
Some recent results on the Muskat problem
Author/s | Castro Martínez, Ángel
Córdoba Gazolaz, Diego Gancedo García, Francisco |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2010 |
Deposit Date | 2016-11-24 |
Published in |
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Abstract | We consider the dynamics of an interface given by two incompressible fluids with different characteristics evolving by Darcy’s law. This scenario is known as the Muskat problem, being in 2D mathematically analogous to the ... We consider the dynamics of an interface given by two incompressible fluids with different characteristics evolving by Darcy’s law. This scenario is known as the Muskat problem, being in 2D mathematically analogous to the two-phase Hele-Shaw cell. The purpose of this paper is to outline recent results on local existence, weak solutions, maximum principles and global existence. |
Project ID. | MTM2008-03754
info:eu-repo/grantAgreement/EC/FP7/203138 DMS-0901810 |
Citation | Castro Martínez, Á., Córdoba Gazolaz, D. y Gancedo García, F. (2010). Some recent results on the Muskat problem. Journées Équations aux dérivées partielles, 299 (2), 1-14. |
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