Local minimizers with vortex filaments for a Gross-Pitaevsky functional

DOI10.1051/cocv:2007004zbMath1111.35077OpenAlexW2113701651MaRDI QIDQ3424595

Robert Leon Jerrard

Publication date: 2 March 2007

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2007__13_1_35_0

zbMATH Keywords

rectifiable currentscritical pointwave function\(\Gamma\)-limitThomas-Fermi limitenergy of vortex filaments in a rotationally forced Bose-Einstein condensateGross-Pitaevsky functional

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Variational problems in a geometric measure-theoretic setting (49Q20) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of superfluids (82D50)

Related Items (10)

Variational modeling of dislocations in crystals in the line-tension limit ⋮ ON THE ENERGY OF A BOSE–EINSTEIN CONDENSATE IN AN OPTICAL LATTICE ⋮ Vortex density models for superconductivity and superfluidity ⋮ Hodge decomposition with degenerate weights and the Gross-Pitaevskii energy ⋮ Non-existence of vortices in the small density region of a condensate ⋮ The transition to a giant vortex phase in a fast rotating Bose-Einstein condensate ⋮ Asymptotic behavior of critical points for a Gross-Pitaevskii energy ⋮ Thomas-Fermi approximation for coexisting two component Bose-Einstein condensates and nonexistence of vortices for small rotation ⋮ On the geometry of Gross-Pitaevski vortex curves for generic data ⋮ The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit

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