Motion of a Surface by Its Mean Curvature. (MN-20) / Mathematical Notes (PDF)
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Kenneth Brakke studies in general dimensions a dynamic system of surfaces of no inertial mass driven by the force of surface tension and opposed by a frictional force proportional to velocity. He formulates his study in terms of varifold surfaces and uses the methods of geometric measure theory to develop a mathematical description of the motion of a surface by its mean curvature. This mathematical description encompasses, among other subtleties, those of changing geometries and instantaneous mass losses.
Originally published in 1978.
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- Autor: Kenneth A. Brakke
- 2015, 258 Seiten, Englisch
- Verlag: Princeton University Press
- ISBN-10: 1400867436
- ISBN-13: 9781400867431
- Erscheinungsdatum: 08.03.2015
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