Phase Change Without Sharp Interfaces
Antonio Fasano, Mario Primicerio · Birkhäuser Basel eBooks · 1989
It is well known that the classical description of melting/solidification processes leads to a mathematical problem in which the regions occupied by the two phases are separated by a sharp interface, the free boundary. On such an interface the temperature u is set equal to the phase-change temperature (which is assumed constant, say 0) whereas in the solid and in the liquid regions u is negative or positive respectively and satisfies the corresponding heat conduction equation; the energy balance (Stefan condition) across the free boundary completes the model along with initial and boundary conditions. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.