A variational problem of phase transitions for a two-phase elastic medium with zero coefficient of surface tension

St Petersburg Mathematical Journal ◽

10.1090/s1061-0022-2011-01181-1 ◽

2011 ◽

Vol 22 (6) ◽

pp. 1007-1022 ◽

Author(s):

V. G. Osmolovskiĭ

Keyword(s):

Surface Tension ◽

Phase Transitions ◽

Variational Problem ◽

Elastic Medium ◽

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Temperatures of Phase Transitions and Quasiconvex Hull Of Energy Functionals for a Two-Phase Elastic Medium with Anisotropic Residual Strain Tensor

Journal of Mathematical Sciences ◽

10.1007/s10958-015-2246-3 ◽

2015 ◽

Vol 205 (2) ◽

pp. 255-266 ◽

Author(s):

V. G. Osmolovskii

Keyword(s):

Phase Transitions ◽

Elastic Medium ◽

Residual Strain ◽

Strain Tensor ◽

Two Phase ◽

Energy Functionals

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Variational problem describing martensitic-austenitic phase transitions with zero surface tension

Journal of Mathematical Sciences ◽

10.1007/bf02680149 ◽

2000 ◽

Vol 101 (5) ◽

pp. 3523-3530

Author(s):

V. G. Osmolovskii

Keyword(s):

Surface Tension ◽

Phase Transitions ◽

Variational Problem ◽

Austenitic Phase

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Variational problem of the two-phase medium elasticity theory for the zero surface tension coefficient

Journal of Mathematical Sciences ◽

10.1007/bf02355591 ◽

1997 ◽

Vol 87 (2) ◽

pp. 3409-3420

Author(s):

V. G. Osmolovskii

Keyword(s):

Surface Tension ◽

Variational Problem ◽

Elasticity Theory ◽

Surface Tension Coefficient ◽

Two Phase ◽

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On Incompressible Two-Phase Flows with Phase Transitions and Variable Surface Tension

Recent Developments of Mathematical Fluid Mechanics - Advances in Mathematical Fluid Mechanics ◽

10.1007/978-3-0348-0939-9_22 ◽

2016 ◽

pp. 411-442 ◽

Author(s):

Jan Prüss ◽

Senjo Shimizu ◽

Gieri Simonett ◽

Mathias Wilke

Keyword(s):

Surface Tension ◽

Phase Transitions ◽

Two Phase Flows ◽

Two Phase ◽

Variable Surface

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Existence of Phase Transitions Temperatures of a Nonhomogeneous Anisotropic Two-Phase Elastic Medium

Journal of Mathematical Sciences ◽

10.1007/s10958-005-0510-7 ◽

2006 ◽

Vol 132 (4) ◽

pp. 441-450 ◽

Author(s):

V. G. Osmolovskii

Keyword(s):

Phase Transitions ◽

Elastic Medium ◽

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A Criterion for the Coincidence of the Phase Transition Temperatures in the Variational Problem on the Equilibrium of a Two-Phase Elastic Medium

Journal of Mathematical Sciences ◽

10.1007/s10958-019-04478-5 ◽

2019 ◽

Vol 242 (2) ◽

pp. 299-307 ◽

Author(s):

V. G. Osmolovskii

Keyword(s):

Phase Transition ◽

Variational Problem ◽

Elastic Medium ◽

Transition Temperatures ◽

Two Phase ◽

Phase Transition Temperatures

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Independence of temperatures of phase transitions of the domain occupied by a two-phase elastic medium

Journal of Mathematical Sciences ◽

10.1007/s10958-012-0986-x ◽

2012 ◽

Vol 186 (2) ◽

pp. 302-306 ◽

Author(s):

V. G. Osmolovskii

Keyword(s):

Phase Transitions ◽

Elastic Medium ◽

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

Journal of Mathematical Sciences ◽

10.1007/s10958-006-0173-z ◽

2006 ◽

Vol 135 (6) ◽

pp. 3437-3456 ◽

Author(s):

V. G. Osmolovskii

Keyword(s):

Surface Tension ◽

Phase Equilibrium ◽

Elastic Medium ◽

Equilibrium States ◽

Surface Tension Coefficient ◽

Dimensional Case ◽

Two Phase ◽

One Dimensional

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Dependence of equilibrium states of a two-phase elastic medium on temperature for a positive surface tension coefficient

Journal of Mathematical Sciences ◽

10.1007/s10958-006-0199-2 ◽

2006 ◽

Vol 136 (2) ◽

pp. 3778-3785

Author(s):

V. G. Osmolovksii

Keyword(s):

Surface Tension ◽

Elastic Medium ◽

Equilibrium States ◽

Surface Tension Coefficient ◽

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Temperature-Dependence of Equilibrium States of a Two-Phase Elastic Medium with the Zero Surface Tension Coefficient

Journal of Mathematical Sciences ◽

10.1023/b:joth.0000031021.39517.de ◽

2004 ◽

Vol 122 (3) ◽

pp. 3278-3289 ◽

Author(s):

V.G. Osmolovskii

Keyword(s):

Surface Tension ◽

Temperature Dependence ◽

Elastic Medium ◽

Equilibrium States ◽

Surface Tension Coefficient ◽

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