Ginzburg-Landau Vortex Lines and the Elastica Functional

Roger Moser

doi:10.1142/S0219199709003284

Ginzburg-Landau Vortex Lines and the Elastica Functional

Roger Moser

Department of Mathematical Sciences

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

Abstract

We examine the asymptotic behavior of a family of second-order functionals arising in the theory of Ginzburg-Landau vortices. The results point towards Gamma-convergence with the elastica functional for generalized curves as the limit.

Original language	English
Pages (from-to)	71-107
Number of pages	37
Journal	Communications in Contemporary Mathematics
Volume	11
Issue number	1
DOIs	https://doi.org/10.1142/S0219199709003284
Publication status	Published - 2009

Keywords

Ginzburg-Landau vortices
elastica functional
curvature

Access to Document

10.1142/S0219199709003284

Cite this

@article{09e8933670e741edaed81d83e4feb76b,

title = "Ginzburg-Landau Vortex Lines and the Elastica Functional",

abstract = "We examine the asymptotic behavior of a family of second-order functionals arising in the theory of Ginzburg-Landau vortices. The results point towards Gamma-convergence with the elastica functional for generalized curves as the limit.",

keywords = "Ginzburg-Landau vortices, elastica functional, curvature",

author = "Roger Moser",

year = "2009",

doi = "10.1142/S0219199709003284",

language = "English",

volume = "11",

pages = "71--107",

journal = "Communications in Contemporary Mathematics",

issn = "0219-1997",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "1",

}

TY - JOUR

T1 - Ginzburg-Landau Vortex Lines and the Elastica Functional

AU - Moser, Roger

PY - 2009

Y1 - 2009

N2 - We examine the asymptotic behavior of a family of second-order functionals arising in the theory of Ginzburg-Landau vortices. The results point towards Gamma-convergence with the elastica functional for generalized curves as the limit.

AB - We examine the asymptotic behavior of a family of second-order functionals arising in the theory of Ginzburg-Landau vortices. The results point towards Gamma-convergence with the elastica functional for generalized curves as the limit.

KW - Ginzburg-Landau vortices

KW - elastica functional

KW - curvature

UR - http://www.scopus.com/inward/record.url?scp=65249109921&partnerID=8YFLogxK

UR - http://dx.doi.org/10.1142/S0219199709003284

U2 - 10.1142/S0219199709003284

DO - 10.1142/S0219199709003284

M3 - Article

SN - 0219-1997

VL - 11

SP - 71

EP - 107

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

IS - 1

ER -

Ginzburg-Landau Vortex Lines and the Elastica Functional

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this