The Motion of a Surface by Its Mean Curvature: 20 (Mathematical Notes, 20) - Softcover

Brakke, Kenneth A.

Softcover

ISBN 10: 0691611513 ISBN 13: 9780691611518

Publisher: Princeton University Press, 2015

Synopsis

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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Edition details

• Publisher: Princeton University Press
• Publication date: 2015
• Language: English
• ISBN 10: 0691611513
• ISBN 13: 9780691611518
• Binding: Paperback
• Number of pages: 258