We study the phenomenon of loss of stability of one-phase critical points of the energy functional of a two-phase elastic medium under perturbations of the temperature.
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V. G. Osmolovskii, “Mathematical aspects of the theory of phase transitions” [in Russian], Algebra Anal. 29, No. 5, 111-178 (2017).
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Translated from Problemy Matematicheskogo Analiza 91, 2018, pp. 169-174.
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Osmolovskii, V.G. Stability of One-Phase States in Variational Problem of the Theory of Elasticity in Two-Phase Media. The Multi-Dimensional Case. J Math Sci 231, 473–479 (2018). https://doi.org/10.1007/s10958-018-3827-8
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DOI: https://doi.org/10.1007/s10958-018-3827-8