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Evolutionary
existence proofs for the pendant drop and n-dimensional catenary problems
Andrew Guy Stone |
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Vol. 164 (1994), No. 1, 147–178
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Abstract |
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Two problems about surfaces, both involving a gravitational forcing term, are studied from an evolutionary perspective. It is shown that, in each case, the existence of a unique solution to the associated Boundary Value Problem (BVP) may be established using a suitable mean curvature type flow. By considering two different flows for one of the problems it is illustrated that the best choice of flow, for use in the evolutionary construction of solutions to such mean curvature type BVPs, may often be determined more by geometric considerations than by analytic ones. |
Mathematical Subject Classification 2000
Primary: 35J65
Secondary: 58E50, 76B45
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Milestones
Received: 9 January 1991
Published: 1 May 1994
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Authors |
| Andrew Guy Stone | |
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