On the nonexistence zone of one-phase equilibrium states of a phase transition problem of continuum mechanics in the case of nonconstant temperature fields

被引：0

作者：

Osmolovskii V.G. ^{[1
]}

机构：

[1] St. Petersburg State University, St. Petersburg 198504, 28, Universitetskii pr., Petrodvorets

来源：

Journal of Mathematical Sciences | 2010年 / 165卷 / 1期

基金：

俄罗斯基础研究基金会;

关键词：

Phase Transition; Surface Tension; Energy Density; Equilibrium State; Variational Problem;

D O I：

10.1007/s10958-010-9783-6

中图分类号：

学科分类号：

摘要：

We consider a variational problem describing two-phase elastic media with nonconstant temperature fields and obtain sufficient conditions for the lower and upper temperatures to be not equal. Bibliography: 5 titles. © 2010 Springer Science+Business Media, Inc.

引用

页码：105 / 109

页数：4

共 5 条

[1]

Grinfel'd M.A., Methods of Continuum Mechanics in the Theory of Phase Transitions, (1990)

[2]

Osmolovskii V.G., Existence of Phase Transition Temperatures of A Nonhomogeneous Anisotropic Two-phase Elastic Medium [in Russian], Probl. Mat. Anal, 31, pp. 59-66, (2005)

[3]

Osmolovskii V.G., On the phase transition temperature in a variational problem of elasticity theory for two-phase media, Probl. Mat. Anal, 41, pp. 37-47, (2009)

[4]

Osmolovskii V.G., Temperature-dependence of equilibrium states of a two-phase elastic medium with the zero surface tension coefficient, Probl. Mat. Anal, 28, pp. 95-104, (2004)

[5]

Evans L.C., Gariepy R.F., Measure Theory and Fine Properties of Functions, (1992)

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