Mean-field dynamics for Ginzburg-Landau vortices with pinning and applied force

With the increase of the collision momentum, merger of the vortices into one or two dipole or quadrupole clusters of fundamental solitons 共 for S= 1 and 2, respectively 兲 is followed

As in [42], the core of the material presented here is the mean field limit of N -particle systems governed by the equations of classical mechanics in the case where the

We consider minimizers of a Ginzburg-Landau energy with a discontinuous and rapidly oscillating pinning term, subject to a Dirichlet boundary condition of degree d > 0.. The

We consider a spherical superconductor in a uniform external field, and study vortices which appear near the lower critical field, the smallest value of the external field strength

For a sufficiently large applied magnetic field and for all sufficiently large values of the Ginzburg–Landau parameter κ = 1/ε, we show that minimizers have nontrivial

Using various elliptic estimates, we are able to relate, in the same spirit, local estimates for the gradient of the modulus to the potential as follows..

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

Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term. Higher-dimensional blow up for semilinear parabolic