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Viscosity Solutions of Increasing Flows of Sets. Application of the Hele--Shaw Problem for Power-Law Fluids

✍ Scribed by Cardaliaguet, Pierre; Rouy, Elisabeth

Book ID
118197529
Publisher
Society for Industrial and Applied Mathematics
Year
2006
Tongue
English
Weight
261 KB
Volume
38
Category
Article
ISSN
0036-1410

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A general solution of the Hele–Shaw prob
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✍ M.M. Alimov πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 368 KB

The partial derivatives of the function which maps the auxiliary plane into the physical plane are rational functions for all known exact solutions of the problem of fingering in a Hele-Shaw cell. Using methods of complex analysis a general form of the solution is constructed which possesses this pr