Motion of spirals by crystalline curvature
نویسندگان
چکیده
Modem physics théories claim that the dynamics of interfaces between the two-phase is described by the évolution équations involving the curvature and various kinematic énergies. 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. AMS Subject Classification. 80A22, 34A12, 52C99. Received: March 2, 1998. Revised: October 2, 1998.
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تاریخ انتشار 1999