Classification of degree three polynomial solutions to the Polubarinova-Galin equation
Mathematical Physics
2013-09-20 v1 Complex Variables
math.MP
Abstract
The Polubarinova-Galin equation is derived from zero-surface-tension Hele-Shaw flow driven by injection. In this paper, we classify degree three polynomial solutions to the Polubarinova-Galin equation into three categories: global solutions, solutions which can be continued after blow-up and solutions which cannot be continued after blow-up. The coefficient region of the initial functions in each category is obtained.
Cite
@article{arxiv.1309.4937,
title = {Classification of degree three polynomial solutions to the Polubarinova-Galin equation},
author = {Yu-Lin Lin},
journal= {arXiv preprint arXiv:1309.4937},
year = {2013}
}
Comments
13 pages