A Stefan Problem with a Non-monotone Boundary
- 1 November 1977
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 20 (3) , 269-281
- https://doi.org/10.1093/imamat/20.3.269
Abstract
The thermal switch provides a motivation for studying Stefan problems with time dependent body heating terms, and consequent non-monotone phase boundaries. An integral equation for the phase boundary is derived, and solved asymptotically for large time. The position of the boundary is also computed directly using the enthalpy formulation of the problem.Keywords
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