Abstract
All the equilibrium states of a one-dimensional variational phase-transition problem are explicitly found. The temperature-dependence of the stability of one-phase equilibrium states is studied. Bibliography: 5 titles.
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V. G. Osmolovskii, Variational Problem on Phase Transitions in Mechanics of Continuous Media [in Russian], St.-Petersburg Univ. Press, St.-Petersburg, 2000.
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Translated from Problemy Matematicheskogo Analiza, No. 32, 2006, pp. 3–19.
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Osmolovskii, V.G. Stability of one-phase equilibrium states of a two-phase elastic medium with zero surface tension coefficient. One-dimensional case. J Math Sci 135, 3437–3456 (2006). https://doi.org/10.1007/s10958-006-0173-z
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DOI: https://doi.org/10.1007/s10958-006-0173-z