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Computation of the second variation of the energy functional of a two-phase medium. / Kucher, V. A.; Osmolovskii, V. G.

In: Journal of Mathematical Sciences , Vol. 106, No. 3, 01.01.2001, p. 2929-2951.

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

Harvard

Kucher, VA & Osmolovskii, VG 2001, 'Computation of the second variation of the energy functional of a two-phase medium', Journal of Mathematical Sciences , vol. 106, no. 3, pp. 2929-2951. https://doi.org/10.1023/A:1011363304028

APA

Kucher, V. A., & Osmolovskii, V. G. (2001). Computation of the second variation of the energy functional of a two-phase medium. Journal of Mathematical Sciences , 106(3), 2929-2951. https://doi.org/10.1023/A:1011363304028

Vancouver

Kucher VA, Osmolovskii VG. Computation of the second variation of the energy functional of a two-phase medium. Journal of Mathematical Sciences . 2001 Jan 1;106(3):2929-2951. https://doi.org/10.1023/A:1011363304028

Author

Kucher, V. A. ; Osmolovskii, V. G. / Computation of the second variation of the energy functional of a two-phase medium. In: Journal of Mathematical Sciences . 2001 ; Vol. 106, No. 3. pp. 2929-2951.

BibTeX

@article{ad1b600a06b7471aade012ebc140ce90,
title = "Computation of the second variation of the energy functional of a two-phase medium",
abstract = "A formula for the second variation of the energy functional of a two-phase elastic medium is derived at a critical point of the functional. An estimate for the remainder is given. The critical field of displacement and the critical boundary of the interface of the phases are assumed to be sufficiently smooth. Computations are made inside a domain occupied by the elastic medium as well as in a neighborhood of the intersection of the boundary of this domain and the boundary of the interface of the phases.",
author = "Kucher, {V. A.} and Osmolovskii, {V. G.}",
year = "2001",
month = jan,
day = "1",
doi = "10.1023/A:1011363304028",
language = "English",
volume = "106",
pages = "2929--2951",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Computation of the second variation of the energy functional of a two-phase medium

AU - Kucher, V. A.

AU - Osmolovskii, V. G.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - A formula for the second variation of the energy functional of a two-phase elastic medium is derived at a critical point of the functional. An estimate for the remainder is given. The critical field of displacement and the critical boundary of the interface of the phases are assumed to be sufficiently smooth. Computations are made inside a domain occupied by the elastic medium as well as in a neighborhood of the intersection of the boundary of this domain and the boundary of the interface of the phases.

AB - A formula for the second variation of the energy functional of a two-phase elastic medium is derived at a critical point of the functional. An estimate for the remainder is given. The critical field of displacement and the critical boundary of the interface of the phases are assumed to be sufficiently smooth. Computations are made inside a domain occupied by the elastic medium as well as in a neighborhood of the intersection of the boundary of this domain and the boundary of the interface of the phases.

UR - http://www.scopus.com/inward/record.url?scp=52549086567&partnerID=8YFLogxK

U2 - 10.1023/A:1011363304028

DO - 10.1023/A:1011363304028

M3 - Article

AN - SCOPUS:52549086567

VL - 106

SP - 2929

EP - 2951

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 42742350