On the minimizers of the Ginzburg-Landau energy for high kappa : the axially symmetric case

摘要: Abstract The Ginzburg-Landau theory of superconductivity is examined in the case a special geometry sample, infinite cylinder. We restrict to axially symmetric solutions and consider models with without vortices. First putting parameter κ formally equal infinity, existence minimizer this reduced energy proved. Then asymptotic behaviour for large minimizers full analyzed different convergence results are obtained. Our main result states that, when large, minimum reached there about vortices at center Numerical computations illustrate various behaviours.