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.

About the authors

V. G. Osmolovskii

Saint Petersburg State University

Author for correspondence.
Email: victor.osmolovskii@gmail.com
Russian Federation, St. Petersburg, 199034

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