Eight remarkable properties of capillary surfaces

Author:

Finn Robert

Publisher

Springer Science and Business Media LLC

Subject

History and Philosophy of Science,General Mathematics

Reference48 articles.

1. T. Young: An essay on the cohesion of fluids.Philos. Trans. Roy. Soc. Lond. 95(1805), 65–87.

2. P.S. Laplace:Traité de mécanique céleste: suppléments au Livre X, 1805 and 1806, resp. in Euvres Complètes Vol. 4. Gauthier-Villars, Paris. See also the annotated English translation by N. Bowditch (1839), reprinted by Chelsea, New York (1966).

3. C.F. Gauss: Principia Generalia Theoriae Figurae Fluidorum. Comment.Soc. Regiae Sclent. Gottingensis Rec. 7 (1830). Reprinted as Grundlagen einer Theorie der Gestalt von Flüssigkeiten im Zustand des Gleichgewichtes inOstwald’s Klassiker der Exakten Wissenschaften, vol. 135, W. Engelmann, Leipzig, (1903).

4. R. Finn: On the equations of capillarity.J. Mathem Fluid Mech,3 (2001), 139–151.

5. T.I. Vogel: Uniqueness for certain surfaces of prescribed mean curvature.Pacific J. Math. 134 (1988), 197–207.

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