Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 16, Issue: 1, page 23-36
- ISSN: 1292-8119
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topSpirn, Daniel, and Yan, Xiaodong. "Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy." ESAIM: Control, Optimisation and Calculus of Variations 16.1 (2010): 23-36. <http://eudml.org/doc/250745>.
@article{Spirn2010,
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.},
author = {Spirn, Daniel, Yan, Xiaodong},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Chern-Simons-Higgs theory; superconductivity; uniqueness; Meissner solution},
language = {eng},
month = {1},
number = {1},
pages = {23-36},
publisher = {EDP Sciences},
title = {Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy},
url = {http://eudml.org/doc/250745},
volume = {16},
year = {2010},
}
TY - JOUR
AU - Spirn, Daniel
AU - Yan, Xiaodong
TI - Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/1//
PB - EDP Sciences
VL - 16
IS - 1
SP - 23
EP - 36
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.
LA - eng
KW - Chern-Simons-Higgs theory; superconductivity; uniqueness; Meissner solution
UR - http://eudml.org/doc/250745
ER -
References
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