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Dependence of the volume of an equilibrium phase on the temperature in the phase transition problem of continuum mechanics. / Osmolovskii, V. G.

In: Journal of Mathematical Sciences , Vol. 154, No. 1, 01.10.2008, p. 78-89.

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@article{f1d963f50577402ba6e721af6c62acfe,
title = "Dependence of the volume of an equilibrium phase on the temperature in the phase transition problem of continuum mechanics",
abstract = "We study a multi-valued function {\^Q}(t) associating with the temperature t the volume part of one of the phases of the equilibrium distribution in the phase transition problem of continuum mechanics. We establish the closedness of the graph of this function, the monotone decrease, and the localization of variability zones of its upper and lower envelopes. Bibliography: 6 titles.",
author = "Osmolovskii, {V. G.}",
year = "2008",
month = oct,
day = "1",
doi = "10.1007/s10958-008-9154-8",
language = "English",
volume = "154",
pages = "78--89",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Dependence of the volume of an equilibrium phase on the temperature in the phase transition problem of continuum mechanics

AU - Osmolovskii, V. G.

PY - 2008/10/1

Y1 - 2008/10/1

N2 - We study a multi-valued function Q̂(t) associating with the temperature t the volume part of one of the phases of the equilibrium distribution in the phase transition problem of continuum mechanics. We establish the closedness of the graph of this function, the monotone decrease, and the localization of variability zones of its upper and lower envelopes. Bibliography: 6 titles.

AB - We study a multi-valued function Q̂(t) associating with the temperature t the volume part of one of the phases of the equilibrium distribution in the phase transition problem of continuum mechanics. We establish the closedness of the graph of this function, the monotone decrease, and the localization of variability zones of its upper and lower envelopes. Bibliography: 6 titles.

UR - http://www.scopus.com/inward/record.url?scp=54249131104&partnerID=8YFLogxK

U2 - 10.1007/s10958-008-9154-8

DO - 10.1007/s10958-008-9154-8

M3 - Article

AN - SCOPUS:54249131104

VL - 154

SP - 78

EP - 89

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 42741793