半离散线性双曲曲率流
Semi-Discrete Linear Hyperbolic Curvature flow
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中文总结 AI 辅助
该研究针对带边界的分段线性曲线，探讨其在线性双曲曲率流下的演化，推导自相似解、有限傅里叶通解，还研究用非齐次线性双曲流实现曲线间演化的问题。
中文摘要 AI 辅助
我们研究带边界的分段线性曲线在线性双曲曲率流下的演化，给定合适的边界行为时发现对应的自相似解；更一般地，给定任意特定边界轨迹，用有限傅里叶展开写出通解；最后考虑用非齐次线性双曲流实现一条分段线性曲线到另一条的演化问题。
英文摘要
We consider evolution of piecewise linear curves with boundary by linear hyperbolic curvature flows. Given appropriate boundary behaviours we find corresponding self-similar solutions. More generally, given any specific boundary trajectories we write down general solutions using finite Fourier expansions. Finally we consider the problem of evolving one piecewise linear curve to another using nonhomogeneous linear hyperbolic flow.
