Critical thresholds in the semiclassical limit of 2D rotational Schrödinger equations

DOI10.1007/s00033-005-0004-yzbMath1089.35052OpenAlexW2116970816MaRDI QIDQ818767

Hai-liang Liu

Publication date: 21 March 2006

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-005-0004-y

zbMATH Keywords

spectral gapBose-Einstein condensatesGross-Pitaevskii equationcritical threshold

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (4)

Semiclassical analysis with new Galilean transformations for a Gross-Pitaevskii system with nonzero conditions at infinity ⋮ RIGOROUS DERIVATION OF THE HYDRODYNAMICAL EQUATIONS FOR ROTATING SUPERFLUIDS ⋮ Dynamics of a Gross-Pitaevskii equation with phenomenological damping ⋮ Critical thresholds in hyperbolic relaxation systems

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