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math.APNov 26, 2008
18
citations (OpenAlex)
authors
  • Chengchun Hao
  • Ling Hsiao
  • Hai-Liang Li
institutions
  • Academy of Mathematics and Systems Science
  • Capital Normal University
arXiv abstractPDF
paper

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

arXiv:0811.4220 · doi:10.1063/1.2795218

Abstract

In this paper, we establish the global well-posedness of the Cauchy problem for the Gross-Pitaevskii equation with an angular momentum rotational term in which the angular velocity is equal to the isotropic trapping frequency in the space $\Real^3$.

11 pages

References in corpus (10)

  • Vortex formation in a stirred Bose-Einstein condensate
  • Vortices in a Bose-Einstein Condensate
  • The dynamics of component separation in a binary mixture of Bose-Einstein condensates
  • Stationary states of a rotating Bose-Einstein condensate: routes to vortex nucleation
  • Derivation of the Gross-Pitaevskii Equation for Rotating Bose Gases
  • Rigorous Derivation of the Gross-Pitaevskii Equation
  • Remarks on nonlinear Schroedinger equations with harmonic potential
  • Gross-Pitaevskii Theory of the Rotating Bose Gas
  • Semi-classical Schrodinger equations with harmonic potential and nonlinear perturbation
  • Global well-posedness for the Gross-Pitaevskii equation with an angular momentum rotational term

Cited by in corpus (1)

  • Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials
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