Geodesic
Propagation of a Boundary of Fusion
Glasgow mathematical journal, Tome 1 (1952) no. 1, pp. 42-47

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We consider a volume of material, divided into two regions 1 and 2. each of density ρ, by a moving surface S. On S a change of phase occurs, at a definite temperature (which we may take to be zero) and with absorption or liberation of a latent heat L per unit mass. If θl, kl, K1 are the temperature, thermal conductivity and diffusivity of phase 1, and θ2, k2, K2 corresponding quantities for phase 2, the surface S is the isothermaland the boundary condition on this surface isSubscript letters denote partial differentiation. 
Paterson, Stewart. Propagation of a Boundary of Fusion. Glasgow mathematical journal, Tome 1 (1952) no. 1, pp. 42-47. doi: 10.1017/S2040618500032937
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[1] (1)Stefan, , Wied. Ann., 41, 725 (1890); 42, 269 (1891). Google Scholar | DOI

[2] (2)Carslaw, and Jaeger, , Conduction of Heat in Solids, Oxford, 1947, pp. 71, 227. Google Scholar

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