Title: Waiting time phenomena of the Hele-Shaw and the Stefan problem

Authors: Sunhi Choi and Inwon Kim

Issue: Volume 55 (2006), Issue 2, 525-552

Abstract: In this paper we investigate the waiting time phenomena for the one-phase Hele-Shaw and Stefan problems. For the Hele-Shaw problem we identify a general criterion on the growth rate of the initial data. which determines the occurrence of a waiting time. For the Stefan problem we show that the waiting time phenomena depend on the balance between the initial data and the geometry of the initial positive phase.