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BOUNDARY PROBLEMS FOR THE GINZBURG–LANDAU EQUATION

BOUNDARY PROBLEMS FOR THE GINZBURG–LANDAU EQUATION

We provide a study at the boundary for a class of equations including the Ginzburg–Landau equation as well as the equation of travelling waves for the Gross–Pitaevskii model. We prove Clearing-Out results and an orthogonal anchoring condition of the vortex on the boundary for the Ginzburg–Landau equation with magnetic field.