Magnetic vortices for a Ginzburg-Landau type energy  with
discontinuous constraint

Ayman Kachmar

Displaying similar documents to “Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint”

On the Ginzburg–Landau model of a superconducting ball in a uniform field

Stan Alama, Lia Bronsard, J. Alberto Montero (2006)

Annales de l'I.H.P. Analyse non linéaire

Similarity:

Local minimizers with vortex filaments for a Gross-Pitaevsky functional

Robert L. Jerrard (2007)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

This paper gives a rigorous derivation of a functional proposed by Aftalion and Rivière [ (2001) 043611] to characterize the energy of vortex filaments in a rotationally forced Bose-Einstein condensate. This functional is derived as a -limit of scaled versions of the Gross-Pitaevsky functional for the wave function of such a condensate. In most situations, the vortex filament energy functional is either unbounded below or has only trivial minimizers, but we establish...

On planar selfdual electroweak vortices

Dongho Chae, Gabriella Tarantello (2004)

Annales de l'I.H.P. Analyse non linéaire

Similarity:

Blow-up solutions of the self-dual Chern–Simons–Higgs vortex equation

Kwangseok Choe, Namkwon Kim (2008)

Annales de l'I.H.P. Analyse non linéaire

Similarity:

Spectrum of the weighted Laplace operator in unbounded domains

Alexey Filinovskiy (2011)

Mathematica Bohemica

Similarity:

We investigate the spectral properties of the differential operator $- r^{s} Δ$ , $s \geq 0$ with the Dirichlet boundary condition in unbounded domains whose boundaries satisfy some geometrical condition. Considering this operator as a self-adjoint operator in the space with the norm ${∥ u ∥}_{L_{2, s} (Ω)}^{2} = \int_{Ω} r^{- s} {| u |}^{2} d x$ , we study the structure of the spectrum with respect to the parameter $s$ . Further we give an estimate of the rate of condensation of discrete spectra when it changes to continuous.

Critical points of Ambrosio-Tortorelli converge to critical points of Mumford-Shah in the one-dimensional Dirichlet case

Gilles A. Francfort, Nam Q. Le, Sylvia Serfaty (2009)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

Critical points of a variant of the Ambrosio-Tortorelli functional, for which non-zero Dirichlet boundary conditions replace the fidelity term, are investigated. They are shown to converge to particular critical points of the corresponding variant of the Mumford-Shah functional; those exhibit many symmetries. That Dirichlet variant is the natural functional when addressing a problem of brittle fracture in an elastic material.