Stability of one-phase equilibrium states of a two-phase elastic medium with zero surface tension coefficient. One-dimensional case

被引：0

作者：

Osmolovskii V.G. ^{[1
]}

机构：

[1] St.-Petersburg State University,

来源：

Journal of Mathematical Sciences | 2006年 / 135卷 / 6期

关键词：

Surface Tension; Equilibrium State; Elastic Medium; Surface Tension Coefficient;

D O I：

10.1007/s10958-006-0173-z

中图分类号：

学科分类号：

摘要：

All the equilibrium states of a one-dimensional variational phase-transition problem are explicitly found. The temperature-dependence of the stability of one-phase equilibrium states is studied. Bibliography: 5 titles. © 2006 Springer Science+Business Media, Inc.

引用

页码：3437 / 3456

页数：19

共 50 条

[1] The role of one-phase states for a two-phase elastic medium
Osmolovskii V.G.
Journal of Mathematical Sciences, 2010, 170 (4) : 510 - 521
[2] Temperature-Dependence of Equilibrium States of a Two-Phase Elastic Medium with the Zero Surface Tension Coefficient
V.G. Osmolovskii
Journal of Mathematical Sciences, 2004, 122 (3) : 3278 - 3289
[3] Dependence of equilibrium states of a two-phase elastic medium on temperature for a positive surface tension coefficient
Osmolovksii V.G.
Journal of Mathematical Sciences, 2006, 136 (2) : 3778 - 3785
[4] A VARIATIONAL PROBLEM OF PHASE TRANSITIONS FOR A TWO-PHASE ELASTIC MEDIUM WITH ZERO COEFFICIENT OF SURFACE TENSION
Osmolovskii, V. G.
ST PETERSBURG MATHEMATICAL JOURNAL, 2011, 22 (06) : 1007 - 1022
[5] Quasistationary Phase Transition Problem in Two-Phase Media. One-Dimensional Case. The Zero Surface Stress Coefficient
Osmolovskii V.G.
Journal of Mathematical Sciences, 2015, 210 (5) : 664 - 676
[6] Stability of One-Phase States in Variational Problem of the Theory of Elasticity in Two-Phase Media. The Multi-Dimensional Case
Osmolovskii V.G.
Journal of Mathematical Sciences, 2018, 231 (3) : 473 - 479
[7] The Volume Fraction of One of the Phases in Equilibrium Two-Phase Elastic Medium
Osmolovskii V.G.
Journal of Mathematical Sciences, 2019, 236 (4) : 419 - 429
[8] Dependence of an equilibrium state of a two-phase medium on surface tension coefficient and on temperature
Osmolovski V.G.
Journal of Mathematical Sciences, 1997, 84 (1) : 898 - 910
[9] Variational problem of the two-phase medium elasticity theory for the zero surface tension coefficient
Osmolovskii V.G.
Journal of Mathematical Sciences, 1997, 87 (2) : 3409 - 3420
[10] Homogenization of two-phase immiscible flows in a one-dimensional porous medium
Bourgeat, Alain
Mikelic, Andro
Asymptotic Analysis, 1994, 9 (04) : 359 - 380

← 1 2 3 4 5 →