The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit
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Publication:2354687
DOI10.1007/s00205-015-0844-3zbMath1316.35240arXiv1205.5997OpenAlexW1992730659MaRDI QIDQ2354687
Christos Sourdis, Georgia Karali
Publication date: 20 July 2015
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.5997
PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of superfluids (82D50) Quantum equilibrium statistical mechanics (general) (82B10)
Related Items (13)
The ground state of two coupled Gross-Pitaevskii equations in the Thomas-Fermi limit ⋮ Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation ⋮ Vortex rings for the Gross-Pitaevskii equation in \(\mathbb R^3\) ⋮ A minimal interface problem arising from a two component Bose-Einstein condensate via \(\Gamma \)-convergence ⋮ Analysis of an irregular boundary layer behavior for the steady state flow of a Boussinesq fluid ⋮ Vortex-filament solutions in the Ginzburg-Landau-Painlevé theory of phase transition ⋮ Thomas-Fermi approximation for coexisting two component Bose-Einstein condensates and nonexistence of vortices for small rotation ⋮ Energy minimality property of the connecting solution of the Painlevé phase transition model ⋮ Symmetry breaking and restoration in the Ginzburg-Landau model of nematic liquid crystals ⋮ The connecting solution of the Painlevé phase transition model ⋮ Persistence of the Thomas-Fermi approximation for ground states of the Gross-Pitaevskii equation supported by the nonlinear confinement ⋮ Sharp interface limit for two components Bose−Einstein condensates ⋮ Phase Segregation for Binary Mixtures of Bose--Einstein Condensates
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