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On the existence of
capillary free surfaces in the absence of gravity
Jin-Tzu Chen |
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Vol. 88 (1980), No. 2, 323–361
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Abstract |
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If we were to put water into a glass cylindrical container of circular cross section and transport it to outer space, the surface of the water would be uniquely determined as a lower hemisphere. Concus and Finn [1] have shown that if the circular cross section is replaced by a square section then no such surface can exist as a graph of a function. The question then arises, for what kind of cross section can we expect the existence of a surface in the form of a graph? |
Mathematical Subject Classification 2000
Primary: 49F10, 49F10
Secondary: 53A10
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Milestones
Received: 26 September 1979
Published: 1 June 1980
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Authors |
| Jin-Tzu Chen | |
| Department of Mathematics National Taiwan University Taipei Taiwan |
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