Symmetries and solutions to geometrical flows

被引：0

作者：

WANG JinHua

机构：

[1] CenterofMathematicalSciences,ZhejiangUniversity

来源：

Science China(Mathematics) | 2013年 / 56卷 / 08期

关键词：

geometrical flow; exact solution; symmetry; blow up;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

In this paper,we investigate group-invariant solutions to the hyperbolic geometric flow on Riemann surfaces,which include solutions of separation variables,traveling wave solutions,self-similar solutions and radial solutions.In the proceeding of reduction,there are elliptic,hyperbolic and mixed types of equations.For the first kind of equation,some exact solutions are found;while for the last two kinds,with implicit solutions found,we furthermore investigate whether there will be a global solution or blowing up.Referring to the work of Kong et al.(2009),the results come out perfectly.

引用

页码：1689 / 1704

页数：16

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