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Phase transitions in multi-phase media. / Mikhailov, A. S.; Mikhailov, V. S.

In: Journal of Mathematical Sciences, Vol. 102, No. 5, 01.01.2000, p. 4436-4472.

Research output: Contribution to journal › Article › peer-review

Harvard

Mikhailov, AS & Mikhailov, VS 2000, 'Phase transitions in multi-phase media', Journal of Mathematical Sciences, vol. 102, no. 5, pp. 4436-4472. https://doi.org/10.1007/BF02672900

APA

Mikhailov, A. S., & Mikhailov, V. S. (2000). Phase transitions in multi-phase media. Journal of Mathematical Sciences, 102(5), 4436-4472. https://doi.org/10.1007/BF02672900

Vancouver

Mikhailov AS, Mikhailov VS. Phase transitions in multi-phase media. Journal of Mathematical Sciences. 2000 Jan 1;102(5):4436-4472. https://doi.org/10.1007/BF02672900

Author

Mikhailov, A. S. ; Mikhailov, V. S. / Phase transitions in multi-phase media. In: Journal of Mathematical Sciences. 2000 ; Vol. 102, No. 5. pp. 4436-4472.

BibTeX

@article{9361130b9e62479bb2747df6defe5fb3,
title = "Phase transitions in multi-phase media",
abstract = "Two problems on phase transitions in a continuous medium are considered. The first problem deals with an elastic medium admitting more than two phases. Necessary conditions for equilibrium states are derived. The dependence of equilibrium states on the surface tension coefficients and temperature is studied for one model of a three-phase elastic medium such that each phase has a quadratic energy density. The second problem deals with phase transitions under some restrictions on the vector field under consideration. These restrictions imply that this vector field is solenoidal and its normal component vanishes on the boundary of the interfaces of phases. The equilibrium equations are deduced.",
author = "Mikhailov, {A. S.} and Mikhailov, {V. S.}",
year = "2000",
month = jan,
day = "1",
doi = "10.1007/BF02672900",
language = "English",
volume = "102",
pages = "4436--4472",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Phase transitions in multi-phase media

AU - Mikhailov, A. S.

AU - Mikhailov, V. S.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - Two problems on phase transitions in a continuous medium are considered. The first problem deals with an elastic medium admitting more than two phases. Necessary conditions for equilibrium states are derived. The dependence of equilibrium states on the surface tension coefficients and temperature is studied for one model of a three-phase elastic medium such that each phase has a quadratic energy density. The second problem deals with phase transitions under some restrictions on the vector field under consideration. These restrictions imply that this vector field is solenoidal and its normal component vanishes on the boundary of the interfaces of phases. The equilibrium equations are deduced.

AB - Two problems on phase transitions in a continuous medium are considered. The first problem deals with an elastic medium admitting more than two phases. Necessary conditions for equilibrium states are derived. The dependence of equilibrium states on the surface tension coefficients and temperature is studied for one model of a three-phase elastic medium such that each phase has a quadratic energy density. The second problem deals with phase transitions under some restrictions on the vector field under consideration. These restrictions imply that this vector field is solenoidal and its normal component vanishes on the boundary of the interfaces of phases. The equilibrium equations are deduced.

UR - http://www.scopus.com/inward/record.url?scp=52549127075&partnerID=8YFLogxK

U2 - 10.1007/BF02672900

DO - 10.1007/BF02672900

M3 - Article

AN - SCOPUS:52549127075

VL - 102

SP - 4436

EP - 4472

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 35180474