Titlebook: Structure and Dynamics of Partially Solidified Systems; David E. Loper (Professor of Mathematics) Book 1987 Martinus Nijhoff Publishers, D

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The Numerical Solution of Phase Change Problemsn are discussed. Then the method of lines front tracking algorithm is described which solves multi-dimensional time dependent free boundary problems as a sequence of time implicit one dimensional problems. This approach is illustrated with a two-dimensional one-phase Stefan problem on an irregular d

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Calculus

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Dynamical Processes in Slurries phases in which the solid is in the form of small grains. Slurries of two types are considered: those occurring in single constituent systems (“pure substances”) and those occurring in binary alloys. The reason why mixed phase regions necessarily arise in rapidly chilled systems is explained by mea

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A Boussinesq Model of a Slurryhis simple model employs the assumptions of constant composition of the solid phase and fast melting, i.e. rapid approach to phase equilibrium. The boundary conditions appropriate for the set of equations is developed. A simple static solution of the set of equations is tested for dynamical stabilit

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MOAT

Theories of Mushy Zones: Applications to Alloy Solidification, Magma Transport, Frost Heave and Igneid flow is important. These are alloy solidification, magma transport, frost heave, and the solidification of igneous intrusions. Various similar mathematical features in the models are pointed out, as well as some common difficulties in their formulation.

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Book 1987nford Sierra Lodge, Tahoe, California, May 12-16, 1986. This work- shop grew out of a realization that there was a significant amount of interest and activity in this topic in several unrelated disciplines, and that it would be mutually beneficial to bring together those mathemati‘- cians, scientist

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978-94-010-8104-7Martinus Nijhoff Publishers, Dordrecht 1987