On the geometry of Gross-Pitaevski vortex curves for generic data

DOI10.1090/S0002-9939-2013-11736-3zbMath1275.49037MaRDI QIDQ2846912

José Alberto Montero, Benjamin K. Stephens

Publication date: 4 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

isoperimetric inequalitylocal minimizers\(\Gamma\)-limitGross-Pitaevskii energyODE techniques

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (1)

Bounded vorticity for the 3D Ginzburg–Landau model and an isoflux problem

Cites Work

• Unnamed Item
• Hodge decomposition with degenerate weights and the Gross-Pitaevskii energy
• Vortices for a rotating toroidal Bose-Einstein condensate
• Vortices in Bose-Einstein condensates
• Bose-Einstein Condensation and Superfluidity
• Local minimizers with vortex filaments for a Gross-Pitaevsky functional
• ENERGY EXPANSION AND VORTEX LOCATION FOR A TWO-DIMENSIONAL ROTATING BOSE–EINSTEIN CONDENSATE

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