Abstract In this paper, we discuss the vortex structure of the superconducting thin films placed in a magnetic field. We show that the global minimizer of the functional modelling the superconducting thin films has a bounded number of vortices when the applied magnetic field hex < Hc1 + K log | log ε| where Hc1 is the lower critical field of the film obtained by Ding and Du in SIAM J. Math. Anal., 2002. The locations of the vortices are also given
International audienceWe consider periodic minimizers of the Lawrence-Doniach functional, which mode...
In two-gap superconducting thin film, there are two kinds of pancake vortices: one is arisen from th...
The effect of an applied magnetic field on an inhomogeneous superconductor is studied and the value ...
In this paper, we discuss the vortex structure of the superconducting thin films placed in a magneti...
Abstract. In this paper, we discuss the global minimizers of a free energy for the superconducting t...
In this paper, we discuss the global minimizers of a free energy for the superconducting thin films ...
Abstract In this paper, the authors discuss the vortex structure of an anisotropic Ginzburg–Landau m...
We study the minimizers of the Ginzburg-Landau model for variable thickness, superconducting, thin f...
We study the variable thickness Ginzburg-Landau equations describing type-II superconducting thin fi...
AbstractThe magnetic fields associated with a single superconducting vortex traversing a thin film are...
The interaction of superconducting vortices with superconductor/vacuum interfaces is considered. A v...
Abstract. We consider singular limits of the three-dimensional Ginzburg-Landau functional for a supe...
Consider a three-dimensional superconducting thin film that occupies the domain Ωδ = Ω × (−δa(x), δa...
A hierarchy of models for type-II superconducting thin films is presented. Through appropriate asymp...
Abstract. In this work, we study thin-film limits of the full three-dimensional Ginzburg–Landau mode...
International audienceWe consider periodic minimizers of the Lawrence-Doniach functional, which mode...
In two-gap superconducting thin film, there are two kinds of pancake vortices: one is arisen from th...
The effect of an applied magnetic field on an inhomogeneous superconductor is studied and the value ...
In this paper, we discuss the vortex structure of the superconducting thin films placed in a magneti...
Abstract. In this paper, we discuss the global minimizers of a free energy for the superconducting t...
In this paper, we discuss the global minimizers of a free energy for the superconducting thin films ...
Abstract In this paper, the authors discuss the vortex structure of an anisotropic Ginzburg–Landau m...
We study the minimizers of the Ginzburg-Landau model for variable thickness, superconducting, thin f...
We study the variable thickness Ginzburg-Landau equations describing type-II superconducting thin fi...
AbstractThe magnetic fields associated with a single superconducting vortex traversing a thin film are...
The interaction of superconducting vortices with superconductor/vacuum interfaces is considered. A v...
Abstract. We consider singular limits of the three-dimensional Ginzburg-Landau functional for a supe...
Consider a three-dimensional superconducting thin film that occupies the domain Ωδ = Ω × (−δa(x), δa...
A hierarchy of models for type-II superconducting thin films is presented. Through appropriate asymp...
Abstract. In this work, we study thin-film limits of the full three-dimensional Ginzburg–Landau mode...
International audienceWe consider periodic minimizers of the Lawrence-Doniach functional, which mode...
In two-gap superconducting thin film, there are two kinds of pancake vortices: one is arisen from th...
The effect of an applied magnetic field on an inhomogeneous superconductor is studied and the value ...