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The Motion of a Surface by Its Mean Curvature. (MN-20)

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by Kenneth A. Brakke
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The Motion of a Surface by Its Mean Curvature. (MN-20) by Kenneth A. Brakke

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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Ebook Details
Pages: 258
Size: 4.0 MB
Publisher: Princeton University Press
Date published:   2015
ISBN: 9781400867431 (DRM-PDF)

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Nonfiction > Mathematics > Geometry

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