Axisymmetric three-dimensional finger solutions in Mullins-Sekerka equation

被引:0
作者
Su, JZ [1 ]
Tran, BL [1 ]
机构
[1] Univ Texas, Dept Math, Arlington, TX 76019 USA
关键词
Mullins-Sekerka equation; fingering phenomenon; finger solution; existence of solution;
D O I
10.1093/imamat/69.4.421
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the existence problem of axisymmetric three-dimensional finger solutions of Mullins-Sekerka equation. The finger solutions are travelling wave solutions whose finger-shaped interfaces are moving along a certain direction at a constant speed within a cylindrical domain. The existence of at least one axisymmetric three-dimensional finger solution is obtained through a fixed-point argument of the Hilbert transformation.
引用
收藏
页码:421 / 435
页数:15
相关论文
共 39 条