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Boundary Value Problems with Free Surfaces in the Theory of Phase Transitions

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Abstract

The aim of the paper is to show, using the one-dimensional problem as an example, what is to be expected and what should be pursued when studying the multidimensional case. The one-dimensional case has been chosen as a model, because here the problem admits an explicit solution permitting one to follow the phase transformation process.

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  1. Saint Petersburg State University, St. Petersburg, 199034, Russia

    V. G. Osmolovskii

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  1. V. G. Osmolovskii
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Correspondence to V. G. Osmolovskii.

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Osmolovskii, V.G. Boundary Value Problems with Free Surfaces in the Theory of Phase Transitions. Diff Equat 53, 1734–1763 (2017). https://doi.org/10.1134/S0012266117130043

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  • DOI: https://doi.org/10.1134/S0012266117130043

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