A simplified proof for a moving boundary problem for Hele-Shaw flows in the plane
✍ Scribed by Michael Reissig; Lothar v. Wolfersdorf
- Book ID
- 112781323
- Publisher
- Springer Netherlands
- Year
- 1993
- Tongue
- English
- Weight
- 647 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0004-2080
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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