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Titlebook: Mathematical Models for Phase Change Problems; Proceedings of the E José Francisco Rodrigues Conference proceedings 1989 Birkhäuser Verlag,

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R. H. Nochetto,M. Paolini,C. Verdiut in vivo on conscious animals and on animals immobilized by general anesthetics or decerebrated animals. In such experiments the agents tested are usually administered intravenously or intraperitoneally (rarely subcutaneously). In addition, close-arterial injection is sometimes used.
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Phase Change Without Sharp Interfacesre (which is assumed constant, say 0) whereas in the solid and in the liquid regions . 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.
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Kinetic Undercooling Regularization of Supercooled Stefan Problemss proportional to the speed, prevents this blow-up. The mathematical consequences of this regularization are discussed, and large-time asymptotic results described for solidification in a semi-infinite domain.
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Local Mesh Refinements for Two-Phase Stefan Problems in Two Space Variablesal crucial implementational issues are discussed such as structure and computational complexity of both the mesh generator and the finite element code. Numerical results illustrate the scheme efficiency in approximating both solutions and interfaces.
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