A generalized Stefan problem in a diffusion model with evaporation

B.W. van de Fliert, R. van der Hout

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    A model for species diffusion is presented,with evaporation at a moving free boundary. The resulting problem resembles a one-phase Stefan problem with superheating,but the usual Stefan condition at the moving boundary is replaced by a version which,in the classical setting, would violate conservation of energy. In the fast evaporation limit,ho wever,the problem reduces to a classical nonlinear Stefan problem with negative latent heat.
    Original languageEnglish
    Pages (from-to)1128-1136
    JournalSIAM journal on applied mathematics
    Issue number4
    Publication statusPublished - 2000



    • Species diffusion
    • Stefan problem

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