On the Existence of Soap Bubbles in the Cylinder
Date Issued
2010
Date
2010
Author(s)
Guo, Siao-Hao
Abstract
Mathematically, the existence of soap bubbles in the cylinder is the existence of a constant mean curvature surface which is perpendicular to the wall on boundary. In this article, we use the method of minimizing area with fixed volume to solve the problem.
Subjects
Constant mean curvature
free boundary problem
bounded variation
capillary condition
soap bubbles
Type
thesis
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ntu-99-R96221006-1.pdf
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