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arxiv: 0911.4109 · v1 · pith:TJJ5IWWVnew · submitted 2009-11-20 · 🧮 math.AP · math-ph· math.MP

Absence of squirt singularities for the multi-phase Muskat problem

classification 🧮 math.AP math-phmath.MP
keywords fluidsmulti-phasemuskatsingularitiessquirtabsenceconstantcontext
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In this paper we study the evolution of multiple fluids with different constant densities in porous media. This physical scenario is known as the Muskat and the (multi-phase) Hele-Shaw problems. In this context we prove that the fluids do not develop squirt singularities.

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