一维逆平均曲率流的对称群及不变解
Symmetrical Groups and Invariant Solutions of One-Dimensional Inverse Mean Curvature Flows
摘要:
本文通过严格闭凸曲线的支撑函数，将一维逆平均曲率流转化成偏微分方程，利用李点对称群理论，研究了一维逆平均曲率流的对称群，并对方程进行约化，讨论了群不变解。
Abstract:
In this paper, through the support function of strictly closed convex curves, the one-dimensional inverse mean curvature flow is transformed into partial differential equations. Using Lies point symmetry group theory, the symmetry group of one-dimensional inverse mean curvature flow is studied, and the equations are reduced. The group has no solution.
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