Numerical study of the stability of solutions for the half-space Ginzburg–Landau model

International audienceBased on a shooting alternative that allows us to numerically solve the one-dimensional system of Ginzburg-Landau in an unbounded domain, we perform here a numerical study of the stability of solutions of this system. This stability notion, from a physical point of view, means that each solution of the system is identified as stable when it minimizes the corresponding Ginzburg-Landau functional. As opposed to our previous paper, we are concerned here with a more general study since the weak and large regimes of the Ginzburg-Landau parameter are considered and the initial data are no longer subject to the de Gennes condition. We also numerically investigate certain conjectures regarding the superheating field