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On Stefan-type moving boundary problems with heterogeneity: canonical reduction via conjugation of reciprocal transformations

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Abstract

Here, two distinct kinds of reciprocal transformation are employed in conjunction to reduce a wide class of nonlinear moving boundary problems with heterogeneity to analytically solvable canonical forms. These are associated, in turn, with a classical Stefan problem and with one with variable latent heat relevant to the analysis of the evolution of seepage fronts in soil mechanics.

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  1. 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 Stefan-type moving boundary problems with heterogeneity: canonical reduction via conjugation of reciprocal transformations. Acta Mech 230, 839–850 (2019). https://doi.org/10.1007/s00707-018-2329-6

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  • DOI: https://doi.org/10.1007/s00707-018-2329-6

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