Some recent results on the Muskat problem | Zendy

Ángel Castro | Zendy; Diego Córdoba | Zendy; Francisco Gancedo | Zendy

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Some recent results on the Muskat problem

Author(s) -

Ángel Castro,

Diego Córdoba,

Francisco Gancedo

Publication year - 2010

Publication title -

journées équations aux dérivées partielles

Language(s) - English

Resource type - Journals

eISSN - 2118-9366

pISSN - 0752-0360

DOI - 10.5802/jedp.62

Subject(s) - compressibility , interface (matter) , darcy's law , mathematics , calculus (dental) , computer science , physics , porous medium , mechanics , geology , geotechnical engineering , medicine , dentistry , bubble , maximum bubble pressure method , porosity

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 twophase Hele-Shaw cell. The purpose of this paper is to outline recent results on local existence, weak solutions, maximum principles and global existence.

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