Mathematics

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

Paperback

Price:
$46.00 / £38.00
ISBN:
Published:
Mar 8, 2015
1978
Pages:
258
Size:
6 x 9.25 in.
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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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