An equality for the curvature function of a simple and closed curve on the plane.

Ou, Biao

Displaying similar documents to “An equality for the curvature function of a simple and closed curve on the plane.”

Immersed surfaces with constant curvature near infinity

David D. Bleecker (1978)

Compositio Mathematica

Similarity:

A remark on the curvature of non-plane curves

Stanisław Gołąb, A. Pliś (1962)

Colloquium Mathematicae

Similarity:

Computational studies of conserved mean-curvature flow

Miroslav Kolář, Michal Beneš, Daniel Ševčovič (2014)

Mathematica Bohemica

Similarity:

The paper presents the results of numerical solution of the evolution law for the constrained mean-curvature flow. This law originates in the theory of phase transitions for crystalline materials and describes the evolution of closed embedded curves with constant enclosed area. It is reformulated by means of the direct method into the system of degenerate parabolic partial differential equations for the curve parametrization. This system is solved numerically and several computational...