Overview
Topic status: We're looking for students to study this topic.
The supercooled Stefan problem is known to be ill-posed, with some solutions exhibiting blow-up in finite time. In one dimension, such blow-up can be regularised by the addition of kinetic undercooling, while in higher dimensions surface tension may act to smooth the singularities. In any event, these problems are complicated, and many issues remain poorly understood. Recently it has been suggested that the addition of surface tension to a well-posed classical Stefan problem leads to finite-time blow-up, which is most unexpected. The project would involve studying these processes in detail, and solving a number of open problems in the field. The student would be using sophisticated asymptotic analysis and appropriate computational techniques.
- Study level
- PhD
- Supervisors
- QUT
- Organisational unit
Science and Engineering Faculty
- Research area
- Contact
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Please contact the supervisor.
Associate Professor Scott McCue
