Behavior of Solutions of One-Sided Variational Problems on Phase Transitions in Continuum Mechanics at High Temperatures

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Behavior of Solutions of One-Sided Variational Problems on Phase Transitions in Continuum Mechanics at High Temperatures. / Osmolovskii, V. G.

In: Functional Analysis and its Applications, Vol. 53, No. 4, 01.10.2019, p. 270-280.

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

BibTeX

@article{055a6fa25c32420abc06c90df3e7aa19,

title = "Behavior of Solutions of One-Sided Variational Problems on Phase Transitions in Continuum Mechanics at High Temperatures",

abstract = "The variational problem on the equilibrium of a two-phase elastic medium is studied for conditions of the Signorini type. The strong convergence of its solutions to single-phase states as the temperature unboundedly increases is proved. A sufficient condition for the existence of phase transition temperatures for one-sided problems is given. A one-dimensional example illustrating the results is presented.",

keywords = "analysis of microstructure, free boundary, semicontinuity and relaxation",

author = "Osmolovskii, {V. G.}",

note = "Osmolovskii, V.G. Behavior of Solutions of One-Sided Variational Problems on Phase Transitions in Continuum Mechanics at High Temperatures. Funct Anal Its Appl 53, 270–280 (2019). https://doi.org/10.1134/S001626631904004X",

year = "2019",

month = oct,

day = "1",

doi = "10.1134/S001626631904004X",

language = "English",

volume = "53",

pages = "270--280",

journal = "Functional Analysis and its Applications",

issn = "0016-2663",

publisher = "Springer Nature",

number = "4",

}

RIS

TY - JOUR

T1 - Behavior of Solutions of One-Sided Variational Problems on Phase Transitions in Continuum Mechanics at High Temperatures

AU - Osmolovskii, V. G.

N1 - Osmolovskii, V.G. Behavior of Solutions of One-Sided Variational Problems on Phase Transitions in Continuum Mechanics at High Temperatures. Funct Anal Its Appl 53, 270–280 (2019). https://doi.org/10.1134/S001626631904004X

PY - 2019/10/1

Y1 - 2019/10/1

N2 - The variational problem on the equilibrium of a two-phase elastic medium is studied for conditions of the Signorini type. The strong convergence of its solutions to single-phase states as the temperature unboundedly increases is proved. A sufficient condition for the existence of phase transition temperatures for one-sided problems is given. A one-dimensional example illustrating the results is presented.

AB - The variational problem on the equilibrium of a two-phase elastic medium is studied for conditions of the Signorini type. The strong convergence of its solutions to single-phase states as the temperature unboundedly increases is proved. A sufficient condition for the existence of phase transition temperatures for one-sided problems is given. A one-dimensional example illustrating the results is presented.

KW - analysis of microstructure

KW - free boundary

KW - semicontinuity and relaxation

UR - http://www.scopus.com/inward/record.url?scp=85078362750&partnerID=8YFLogxK

UR - https://link.springer.com/article/10.1134/S001626631904004X

U2 - 10.1134/S001626631904004X

DO - 10.1134/S001626631904004X

M3 - Article

AN - SCOPUS:85078362750

VL - 53

SP - 270

EP - 280

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 0016-2663

IS - 4

ER -

ID: 61993554