Motion of spirals by crystalline curvature
Motion of spirals by crystalline curvature
复制标题
晶体曲率的螺旋运动
DOI：
10.1051/m2an:1999164
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
Takeo Ushijima
中科院分区：
文献类型：
--
作者：
Hitoshi Imai;N. Ishimura;Takeo Ushijima
现代物理学理论声称，两相之间界面的动力学是通过涉及曲率和各种运动能的演化方程来描述的。我们通过晶体曲率来考虑螺旋形多边形曲线的运动，这值得建立真实晶体的数学模型。利用比较原理，我们证明了解的局部存在性和唯一性。
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.