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

Based on a shooting alternative that allows one to numerically solve the one-dimensional system of Ginzburg–Landau in an unbounded domain, a numerical study of the stability of solutions of this system is performed here. 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 a previous paper, the present one is concerned 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. Certain conjectures regarding the superheating field are also investigated numerically.