Building on earlier work, we have given in [29] a proof of existence of Abrikosov vortex lattices in the Ginzburg-Landau model of superconductivity and shown that the triangular lattice gives the lowest energy per lattice cell. After [29] was published, we realized that it proves a stronger result than was stated there. This result is recorded in the present paper. The proofs remain the same as in [29], apart from some streamlining
We consider the Ginzburg-Landau equation in dimension two. We introduce a key notion of the energy o...
The electrostatic potential in a superconductor is studied. To this end Bardeen's extension of the G...
In a recent book [BBH4], F. Bethuel, H. Brezis and F. Hélein studied the vortices related to the Gi...
Building on earlier work, we have given in [29] a proof of existence of Abrikosov vortex l...
In this thesis we study the Ginzburg-Landau equations of superconductivity, which are among the basi...
We introduce a "Coulombian renormalized energy" W which is a logarithmic type of interaction between...
We consider Abrikosov-type vortex lattice solutions of the Ginzburg-Landau equations of supercon-duc...
We characterize the O(N)-equivariant vortex solution for Ginzburg-Landau type equations in the N-dim...
Starting from the Ginzburg-Landau model, we derive an effective free energy functional for nearly-pa...
In this thesis we study the ZHK Chern-Simons equations which occur in the study of the fractional qu...
International audienceWe study The energy of the Ginzburg-Landau in the case where the potential J h...
We address the macroscopic theory of superconductivity- the Ginzburg-Landau theory. This theory is b...
iii Ginzburg-Landau theory—The thermodynamic properties of the anisotropic superconductors Student：L...
The fast rotation of a Bose Einstein condensate in a harmonic trap leads to a hexagonal lattice of v...
Our work focus on the elliptic partial differential Equations arising from the mathematical physics,...
We consider the Ginzburg-Landau equation in dimension two. We introduce a key notion of the energy o...
The electrostatic potential in a superconductor is studied. To this end Bardeen's extension of the G...
In a recent book [BBH4], F. Bethuel, H. Brezis and F. Hélein studied the vortices related to the Gi...
Building on earlier work, we have given in [29] a proof of existence of Abrikosov vortex l...
In this thesis we study the Ginzburg-Landau equations of superconductivity, which are among the basi...
We introduce a "Coulombian renormalized energy" W which is a logarithmic type of interaction between...
We consider Abrikosov-type vortex lattice solutions of the Ginzburg-Landau equations of supercon-duc...
We characterize the O(N)-equivariant vortex solution for Ginzburg-Landau type equations in the N-dim...
Starting from the Ginzburg-Landau model, we derive an effective free energy functional for nearly-pa...
In this thesis we study the ZHK Chern-Simons equations which occur in the study of the fractional qu...
International audienceWe study The energy of the Ginzburg-Landau in the case where the potential J h...
We address the macroscopic theory of superconductivity- the Ginzburg-Landau theory. This theory is b...
iii Ginzburg-Landau theory—The thermodynamic properties of the anisotropic superconductors Student：L...
The fast rotation of a Bose Einstein condensate in a harmonic trap leads to a hexagonal lattice of v...
Our work focus on the elliptic partial differential Equations arising from the mathematical physics,...
We consider the Ginzburg-Landau equation in dimension two. We introduce a key notion of the energy o...
The electrostatic potential in a superconductor is studied. To this end Bardeen's extension of the G...
In a recent book [BBH4], F. Bethuel, H. Brezis and F. Hélein studied the vortices related to the Gi...
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