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On a class of reciprocal Stefan moving boundary problems

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Abstract

This paper concerns the action of reciprocal transformations on a class of moving boundary problems of Stefan type. Thus, an established integral representation is combined with a reciprocal transformation to obtain parametric exact solution to classes of moving boundary problems which arise, in particular, in the context of the percolation of liquids through a porous medium such as soil. Importantly, the procedure is shown to extend to a wide class of moving boundary value problems which incorporate heterogeneity in the porous medium.

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Authors and Affiliations

  1. Australian Research Council Centre of Excellence for Mathematics and Statistics of Complex Systems, School of Mathematics and Statistics, University of New South Wales, Sydney, Australia

    Colin Rogers

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  1. Colin Rogers
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Correspondence to Colin Rogers.

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Rogers, C. On a class of reciprocal Stefan moving boundary problems. Z. Angew. Math. Phys. 66, 2069–2079 (2015). https://doi.org/10.1007/s00033-015-0506-1

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