Self-similar solutions of the Laplacian growth problem in the half-plane

被引：0
|
作者：
Vasiliev, D. V. [1 ]
Zabrodin, A. V. [1 ,2 ]
机构：
[1] Inst Theoret & Expt Phys, Moscow 117259, Russia
[2] RAS, Emanuel Inst Biochem Phys, Moscow 117901, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2011年 / 166卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
Laplacian growth; integrable system; conformal map; harmonic moment; SECTOR GEOMETRY;
D O I：
10.1007/s11232-011-0002-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate a version of the Laplacian growth problem with zero surface tension in the upper half-plane. Using the method of time-dependent conformal maps, we find families of self-similar exact solutions that are expressible in terms of the hypergeometric function.
引用
收藏
页码：23 / 36
页数：14
相关论文
共 50 条
12345