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

被引：0
|
作者：
D. V. Vasiliev
A. V. Zabrodin
机构：
[1] Institute for Theoretical and Experimental Physics,Emanuel Institute of Biochemical Physics
[2] RAS,undefined
来源：
Theoretical and Mathematical Physics | 2011年 / 166卷
关键词：
Laplacian growth; integrable system; conformal map; harmonic moment;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：23 / 36
页数：13
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