학술논문
Self-similar solutions of the Laplacian growth problem in the half-plane
Document Type
Original Paper
Author
Source
Theoretical and Mathematical Physics. January 2011 166(1):23-36
Subject
Language
English
ISSN
0040-5779
1573-9333
1573-9333
Abstract
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.