Uniqueness, symmetry and nodal sets for a Ginzburg–Landau type problem in an infinite strip

Organisé par

Institut Henri Poincaré

The Ginzburg-Landau energy is studied in a specific geometry: an infinite strip with Neumann boundary conditions and under symmetry properties related to very experiments in Bose Einstein condensates. We show that there is a unique minimizer when the width of the strip is below an explicit threshold. This solution is in fact a one dimensional soliton. Above the threshold, the soliton becomes unsta

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