Energy minimisers of perturbed dislocation energies

Jоan Mateu; M. G. Mora; L. Rondi; L. Scardia; J. Verdera

doi:10.1016/j.na.2022.113014

Energy minimisers of perturbed dislocation energies

Jоan Mateu
, M. G. Mora
, L. Rondi
, L. Scardia
, J. Verdera

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

2 Citations (Scopus)

Abstract

In this paper we show that ellipses persist as energy minimisers under small perturbations, starting from a nonlocal energy inspired by edge dislocations. The case of Coulomb energies has been recently considered by the same authors.

Original language	English
Article number	113014
Journal	Nonlinear Analysis: Theory, Methods and Applications
Volume	231
Early online date	14 Jun 2022
DOIs	https://doi.org/10.1016/j.na.2022.113014
Publication status	Published - Jun 2023

Keywords

Calderón–Zygmund
Dislocations
Euler–Lagrange conditions
Nonlocal energies

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2022.113014

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title = "Energy minimisers of perturbed dislocation energies",

abstract = "In this paper we show that ellipses persist as energy minimisers under small perturbations, starting from a nonlocal energy inspired by edge dislocations. The case of Coulomb energies has been recently considered by the same authors.",

keywords = "Calder{\'o}n–Zygmund, Dislocations, Euler–Lagrange conditions, Nonlocal energies",

author = "Jоan Mateu and Mora, \{M. G.\} and L. Rondi and L. Scardia and J. Verdera",

note = "Funding Information: JM and JV acknowledge support from the grants 2017-SGR-395 ( Generalitat de Catalunya ), PID2020-112881GB-I00 and Severo Ochoa and Maria de Maeztu CEX2020-001084-M . MGM acknowledges support by MIUR–PRIN 2017. MGM and LR are members of GNAMPA–INdAM. LS acknowledges support by the EPSRC, United Kingdom under the grants EP/V00204X/1 and EP/V008897/1 . Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

year = "2023",

month = jun,

doi = "10.1016/j.na.2022.113014",

language = "English",

volume = "231",

journal = "Nonlinear Analysis: Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - Energy minimisers of perturbed dislocation energies

AU - Mateu, Jоan

AU - Mora, M. G.

AU - Rondi, L.

AU - Scardia, L.

AU - Verdera, J.

N1 - Funding Information: JM and JV acknowledge support from the grants 2017-SGR-395 ( Generalitat de Catalunya ), PID2020-112881GB-I00 and Severo Ochoa and Maria de Maeztu CEX2020-001084-M . MGM acknowledges support by MIUR–PRIN 2017. MGM and LR are members of GNAMPA–INdAM. LS acknowledges support by the EPSRC, United Kingdom under the grants EP/V00204X/1 and EP/V008897/1 . Publisher Copyright: © 2022 Elsevier Ltd

PY - 2023/6

Y1 - 2023/6

N2 - In this paper we show that ellipses persist as energy minimisers under small perturbations, starting from a nonlocal energy inspired by edge dislocations. The case of Coulomb energies has been recently considered by the same authors.

AB - In this paper we show that ellipses persist as energy minimisers under small perturbations, starting from a nonlocal energy inspired by edge dislocations. The case of Coulomb energies has been recently considered by the same authors.

KW - Calderón–Zygmund

KW - Dislocations

KW - Euler–Lagrange conditions

KW - Nonlocal energies

UR - https://www.scopus.com/pages/publications/85132793878

U2 - 10.1016/j.na.2022.113014

DO - 10.1016/j.na.2022.113014

M3 - Article

SN - 0362-546X

VL - 231

JO - Nonlinear Analysis: Theory, Methods and Applications

JF - Nonlinear Analysis: Theory, Methods and Applications

M1 - 113014

ER -

Energy minimisers of perturbed dislocation energies

Abstract

Keywords

ASJC Scopus subject areas

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