Hele-Shaw Flows: Historical Overview

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Recommended Reading • Sam Howison’s Web-Page where one finds a survey on Hele-Shaw flows (BAMC plenary talk) and a 1898–1998 bibliography list http://www.maths.ox.ac.uk/ howison/ collected with K.Gillow; • Survey: S. D Howison: Complex variable method in Hele-Shaw moving boundary problem.- Euro J. Appl. Math. 3 (1992), 209–224; • Survey: J. R. Ockendon, S. Howison: Kochina and Hele-Shaw in modern Mathematics, Natural Science and Industry.- J. Appl. Maths. Mechs. 66 (2002), no. 3, 505–512; BIRS, Canada, July 2007 – p. 86
Recommended Reading Two monographs: • A. N. Varchenko, P. Etingof: Why the boundary of a round drop becomes a curve of order four?- University Lecture Series, vol. 3, AMS, 1992. • B.Gustafsson, A.Vasil’ev: Conformal and potential analysis in Hele-Shaw cells. - ISBN 3-7643-7703-8, Birkhäuser Verlag, 2006. BIRS, Canada, July 2007 – p. 87
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Hele-Shaw Flows: Historical Overvie
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Henri Selby Hele-Shaw ... an exampl
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1871-1876 At the age of 17 he finis
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1885-1904 In 1885 Hele-Shaw was inv
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1906-1941 Upon returning from South
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1906-1941 Upon returning from South
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1906-1941 Hele-Shaw took a very act
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1906-1941 One of his greatest contr
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1906-1941 Hele-Shaw was a man of gr
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1906-1941 Hele-Shaw was a man of gr
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Hele-Shaw’s inventions Two greate
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Hele-Shaw’s inventions • Specia
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Hele-Shaw’s inventions H. S. Hele
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Hele-Shaw’s inventions Further de
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Hele-Shaw Prizes • Hele-Shaw Priz
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Stream-line Flow Methods The most n
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Stream-line Flow Methods In 1897 He
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Experiment by Reynolds O. Reynolds
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Experiment by Reynolds O. Reynolds
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Hele-Shaw Cell Hele-Shaw got the Go
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Hele-Shaw Papers • Experiments on
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USSR CONTRIBUTION BIRS, Canada, Jul
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Stokes-Leibenzon Model Leonid Samui
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Stokes-Leibenzon Model x3 h 0 x1,x3
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Stokes-Leibenzon Model Ω(t) 0 y
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Stokes-Leibenzon Model Ω(t) 0 y
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Free Boundary Problem • ∆p = Q
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P. Ya. Polubarinova-Kochina Pelagey
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P. Ya. Polubarinova-Kochina In 1921
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Hele-Shaw Flows: Historical Overview

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