Global well posedness for the Gross-Pitaevskii equation with an angular momentum rotational term in three dimensions

DOI10.1063/1.2795218zbMath1152.81463arXiv0811.4220OpenAlexW3100108595MaRDI QIDQ3544454

Ling Hsiao, Cheng Chun Hao, Hai-liang Li

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.4220

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

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Cites Work

• Derivation of the Gross-Pitaevskii equation for rotating Bose gases
• Schrödinger operators with magnetic fields. I: General interactions
• Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation
• Gross-Pitaevskii theory of the rotating Bose gas
• Remarks on nonlinear Schrödinger equations with harmonic potential
• Ground, symmetric and central vortex states in rotating Bose-Einstein condensates
• Structure of a quantized vortex in boson systems
• Endpoint Strichartz estimates
• Dynamics of Rotating Bose--Einstein Condensates and its Efficient and Accurate Numerical Computation