Boundary problems for the Ginzburg-Landau equation.

David Chiron (1)

1 LJLL - Laboratoire Jacques-Louis Lions

We provide a study at the boundary for a class of equation 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.

Domaines: Equations aux dérivées partielles [math.AP]

David Chiron. Boundary problems for the Ginzburg-Landau equation.. Communications in Contemporary Mathematics, 2005, 7 (5), pp.597-648. ⟨10.1142/S0219199705001908⟩. ⟨hal-00809294⟩