Mathematical problems of the theory of phase transitions in continuum mechanics

Osmolovskiĭ, V.

doi:10.1090/spmj/1517

Mathematical problems of the theory of phase transitions in continuum mechanics
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by V. G. Osmolovskiĭ
Translated by: E. Peller

St. Petersburg Math. J. 29 (2018), 793-839

DOI: https://doi.org/10.1090/spmj/1517

Published electronically: July 26, 2018

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Abstract:

The paper is a survey of the author’s results related to variational problems for phase transitions in continuum mechanics. The main emphasis is on the study of the relationship between the solutions and the parameters of the problem, which allows one to trace the process of phase transitions when these parameters vary.

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