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Passage to the limit in a chain of the muskat problems(II)
Authors:Y Kametaka  E Radkevich
Institution:1. Osaka University , Japan, Osaka;2. Moscow State University , Russia, Moscow
Abstract:This paper is the continuation of the paper: “Passage to the limit in a chain of the Muskat problems(I)”. In spherically symmetric case one prove that for some class of initial data, generated by a chain of the Muskat problems, the solutions of smooth approximate problems converge to a weak solution of the Muskat problem. This weak solution can be regarded as interpretation of so-called finger phenomenon.
Keywords:Muskat problem  finger phenomenon  free boundary problem
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