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

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. The
- Mathematical Notes
Phillip A. Griffiths, John N. Mather, and Elias M. Stein, series editors - Princeton Legacy Library
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