Approximate analytical solution of a Stefan’s problem in a finite domain

Takagi, Shunsuke

doi:10.1090/qam/950600

Author: Shunsuke Takagi
Journal: Quart. Appl. Math. 46 (1988), 245-266
MSC: Primary 35R35; Secondary 35K05, 73B30, 80A20
DOI: https://doi.org/10.1090/qam/950600
MathSciNet review: 950600
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Abstract: A Stefan’s problem in a finite domain may be given an approximate analytical solution. An example is shown with constant boundary and initial conditions. The solution is initially that of a semi-infinite domain, transits through infinitely many intermediate stage solutions, and finally becomes stationary. The solution is exact in the initial stage and also at the steady final stage, but approximate at the intermediate stages.

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