Passage to the limit in a chain of the muskat problems(II) |
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Authors: | Y Kametaka E Radkevich |
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Institution: | 1. Osaka University , Japan, Osaka;2. Moscow State University , Russia, Moscow |
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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. |
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Keywords: | Muskat problem finger phenomenon free boundary problem |
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