Sharp Estimates of the Distance from a Fixed Point to the Frontier of a Hele-Shaw Flow |
| |
Authors: | Sakai Makoto |
| |
Affiliation: | (1) Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-shi, Tokyo, 192-03, Japan |
| |
Abstract: | We discuss the global shape of a Hele–Shaw flow which is produced by the injection of fluid into the narrow gap between two parallel planes. We translate the problem into a problem concerning the shape of a quadrature domain of a finite positive measure for subharmonic functions and give sharp estimates of the distance from a fixed point to the frontier of the flow. |
| |
Keywords: | Hele-Shaw flow quadrature domain Green function Martin function. |
本文献已被 SpringerLink 等数据库收录! |
|