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. Indiana University Mathematics Journal
| Original language | English (US) |
|---|---|
| Pages (from-to) | 525-551 |
| Number of pages | 27 |
| Journal | Indiana University Mathematics Journal |
| Volume | 55 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2006 |
| Externally published | Yes |
Keywords
- Free boundary problem
- Hele-Shaw problem
- Stefan problem
- Viscosity solutions
- Waiting time phenomena
ASJC Scopus subject areas
- General Mathematics