What is it about?

In this paper we study a mathematical model of the motion of an internal wave in porous media in the presence of seabed. Besides proving mathematically that the system is well-posed, we also find some remarkable differences with the deep water situation.

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Why is it important?

There are several striking differences between the deep water case and the case with impervious top and bottom.

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This page is a summary of: The confined Muskat problem: Differences with the deep water regime, Communications in Mathematical Sciences, January 2014, International Press of Boston,
DOI: 10.4310/cms.2014.v12.n3.a2.
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