Uniqueness of stable meissner state solutions of the chern-simons-higgs energy

Daniel Spirn; Xiaodong Yan

doi:10.1051/cocv:2008062

Uniqueness of stable meissner state solutions of the chern-simons-higgs energy

Daniel Spirn, Xiaodong Yan

School of Mathematics

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

Abstract

For external magnetic field h_ex ≤Cε^-α, we prove that a Meissner state solution for the Chern-Simons-Higgs functional exists. Furthermore, if the solution is stable among all vortexless solutions, then it is unique.

Original language	English (US)
Pages (from-to)	23-36
Number of pages	14
Journal	ESAIM - Control, Optimisation and Calculus of Variations
Volume	16
Issue number	1
DOIs	https://doi.org/10.1051/cocv:2008062
State	Published - Jan 2010

Keywords

Chern-Simons-Higgs theory
Meissner solution
Superconductivity
Uniqueness

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10.1051/cocv:2008062

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title = "Uniqueness of stable meissner state solutions of the chern-simons-higgs energy",

abstract = "For external magnetic field hex ≤Cε-α, we prove that a Meissner state solution for the Chern-Simons-Higgs functional exists. Furthermore, if the solution is stable among all vortexless solutions, then it is unique.",

keywords = "Chern-Simons-Higgs theory, Meissner solution, Superconductivity, Uniqueness",

author = "Daniel Spirn and Xiaodong Yan",

year = "2010",

month = jan,

doi = "10.1051/cocv:2008062",

language = "English (US)",

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T1 - Uniqueness of stable meissner state solutions of the chern-simons-higgs energy

AU - Spirn, Daniel

AU - Yan, Xiaodong

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N2 - For external magnetic field hex ≤Cε-α, we prove that a Meissner state solution for the Chern-Simons-Higgs functional exists. Furthermore, if the solution is stable among all vortexless solutions, then it is unique.

AB - For external magnetic field hex ≤Cε-α, we prove that a Meissner state solution for the Chern-Simons-Higgs functional exists. Furthermore, if the solution is stable among all vortexless solutions, then it is unique.

KW - Chern-Simons-Higgs theory

KW - Meissner solution

KW - Superconductivity

KW - Uniqueness

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DO - 10.1051/cocv:2008062

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VL - 16

SP - 23

EP - 36

JO - ESAIM - Control, Optimisation and Calculus of Variations

JF - ESAIM - Control, Optimisation and Calculus of Variations

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ER -

Uniqueness of stable meissner state solutions of the chern-simons-higgs energy

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