A non-standard approach to the Euclidean study of plane curves.
Dragoş, Petru (1998)
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Dragoş, Petru (1998)
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Gustavo Corach, Horacio Porta (1987)
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Modern physics theories claim that the dynamics of interfaces between the two-phase is described by the evolution equations involving the curvature and various kinematic energies. We consider the motion of spiral-shaped polygonal curves by its crystalline curvature, which deserves a mathematical model of real crystals. Exploiting the comparison principle, we show the local existence and uniqueness of the solution.
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