汪瑶瑶;

• 1:安徽师范大学计算机科学学院

摘要(Abstract)：

研究双曲平均曲率流中一类几何流方程周期解的爆破问题.引入合适的黎曼不变量,将该方程化为对角型的一阶拟线性双曲型方程组.该方程组在Lax意义下不是真正非线性的.假设初值是周期的,且在一个周期内全变差很小,此外假设初值还满足一定的结构条件,可以证得该几何流方程的周期解必在有限时间内发生爆破,解的生命跨度估计可以给出.

关键词(KeyWords)： 几何流方程;拟线性双曲型方程组;周期解;爆破;生命跨度

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(11301006);; 安徽省自然科学基金(1408085MA01)

作者(Authors): 汪瑶瑶;

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