Magnetic flux lines in complex geometry type-II superconductors studied by the time dependent Ginzburg-Landau equation
TS Alstrøm, MP Sørensen, NF Pedersen… - Acta applicandae …, 2011 - Springer
Abstract The time-dependent Ginzburg-Landau equation is solved numerically for type-II
superconductors of complex geometry using the finite element method. The geometry has a …
superconductors of complex geometry using the finite element method. The geometry has a …
The ground state of a Gross–Pitaevskii energy with general potential in the Thomas–Fermi limit
We study the ground state which minimizes a Gross–Pitaevskii energy with general non-
radial trapping potential, under the unit mass constraint, in the Thomas–Fermi limit where a …
radial trapping potential, under the unit mass constraint, in the Thomas–Fermi limit where a …
Vortex density models for superconductivity and superfluidity
S Baldo, RL Jerrard, G Orlandi, HM Soner - … in Mathematical Physics, 2013 - Springer
We study some functionals that describe the density of vortex lines in superconductors
subject to an applied magnetic field, and in Bose-Einstein condensates subject to rotational …
subject to an applied magnetic field, and in Bose-Einstein condensates subject to rotational …
Vortex rings in fast rotating Bose–Einstein condensates
N Rougerie - Archive for Rational Mechanics and Analysis, 2012 - Springer
Abstract When Bose–Einstein condensates are rotated sufficiently fast, a giant vortex phase
appears, that is, the condensate becomes annular with no vortices in the bulk but a …
appears, that is, the condensate becomes annular with no vortices in the bulk but a …
Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint
A Kachmar - ESAIM: Control, Optimisation and Calculus of …, 2010 - cambridge.org
This paper is devoted to an analysis of vortex-nucleation for a Ginzburg-Landau functional
with discontinuous constraint. This functional has been proposed as a model for vortex …
with discontinuous constraint. This functional has been proposed as a model for vortex …
Thin film limits for Ginzburg–Landau with strong applied magnetic fields
In this work, we study thin film limits of the full three-dimensional Ginzburg–Landau model
for a superconductor in an applied magnetic field oriented obliquely to the film surface. We …
for a superconductor in an applied magnetic field oriented obliquely to the film surface. We …
Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. II
arXiv:0807.1177v1 [math.AP] 8 Jul 2008 Page 1 arXiv:0807.1177v1 [math.AP] 8 Jul 2008 Х Ц
ЬС ЮЧЪЬС Ы ЧЪ СЦ ЭЪ ЙФ Ц Э Ь Ш Ц Ъ ЯСЬР СЫ ЧЦЬСЦЭЧЭЫ ЧЦЫЬЪ СЦЬК СС Р …
ЬС ЮЧЪЬС Ы ЧЪ СЦ ЭЪ ЙФ Ц Э Ь Ш Ц Ъ ЯСЬР СЫ ЧЦЬСЦЭЧЭЫ ЧЦЫЬЪ СЦЬК СС Р …
Ginzburg-Landau model with small pinning domains
MD Santos, O Misiats - arXiv preprint arXiv:1103.3867, 2011 - arxiv.org
We consider a Ginzburg-Landau type energy with a piecewise constant pinning term $ a $ in
the potential $(a^ 2-| u|^ 2)^ 2$. The function $ a $ is different from 1 only on finitely many …
the potential $(a^ 2-| u|^ 2)^ 2$. The function $ a $ is different from 1 only on finitely many …
Pinning with a variable magnetic field of the two dimensional Ginzburg–Landau model
K Attar - Nonlinear Analysis: Theory, Methods & Applications, 2016 - Elsevier
Abstract We study the Ginzburg–Landau energy of a superconductor with a variable
magnetic field and a pinning term in a bounded smooth two dimensional domain Ω …
magnetic field and a pinning term in a bounded smooth two dimensional domain Ω …
Vortex Ring Pinning for the Gross--Pitaevskii Equation in Three-Dimensional Space
J Wei, J Yang - SIAM Journal on Mathematical Analysis, 2012 - SIAM
We construct a stationary solution possessing two vortex rings to the nonlinear
Schrödinger-type problem iu_t=-ε^2\triangleu+(V+|u|^2)u, where the unknown function u is …
Schrödinger-type problem iu_t=-ε^2\triangleu+(V+|u|^2)u, where the unknown function u is …