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Weak solution for the Hele-Shaw problem: Viscous shocks and singularities

✍ Scribed by S. -Y. Lee; R. Teodorescu; P. Wiegmann


Book ID
110169453
Publisher
SP MAIK Nauka/Interperiodica
Year
2010
Tongue
English
Weight
391 KB
Volume
92
Category
Article
ISSN
0021-3640

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A general solution of the Hele–Shaw prob
✍ 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