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Splitting Method for the Variational Phase Transition Problem in Two-Phase Continuum Media. / Осмоловский, Виктор Георгиевич.

In: Journal of Mathematical Sciences (United States), Vol. 279, No. 4, 01.03.2024, p. 493-507.

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@article{d0c77ee33bfc46dfb0886a2f6a5a43f7,
title = "Splitting Method for the Variational Phase Transition Problem in Two-Phase Continuum Media",
abstract = "For the multi-dimensional variational phase transition problem of continuum mechanics we propose a method for splitting the problem into two parts one of which is used to find a candidate for the volume fraction of one of the phases in the equilibrium state, whereas the other is used to find the corresponding equilibrium displacement field and equilibrium phase distribution.",
author = "Осмоловский, {Виктор Георгиевич}",
year = "2024",
month = mar,
day = "1",
doi = "10.1007/s10958-024-07028-w",
language = "English",
volume = "279",
pages = "493--507",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Splitting Method for the Variational Phase Transition Problem in Two-Phase Continuum Media

AU - Осмоловский, Виктор Георгиевич

PY - 2024/3/1

Y1 - 2024/3/1

N2 - For the multi-dimensional variational phase transition problem of continuum mechanics we propose a method for splitting the problem into two parts one of which is used to find a candidate for the volume fraction of one of the phases in the equilibrium state, whereas the other is used to find the corresponding equilibrium displacement field and equilibrium phase distribution.

AB - For the multi-dimensional variational phase transition problem of continuum mechanics we propose a method for splitting the problem into two parts one of which is used to find a candidate for the volume fraction of one of the phases in the equilibrium state, whereas the other is used to find the corresponding equilibrium displacement field and equilibrium phase distribution.

UR - https://www.mendeley.com/catalogue/712d332d-7d32-3c4e-952d-80d3c07a1ee6/

U2 - 10.1007/s10958-024-07028-w

DO - 10.1007/s10958-024-07028-w

M3 - Article

VL - 279

SP - 493

EP - 507

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 117867614