Global well-posedness for the Gross-Pitaevskii equation with an angular   momentum rotational term in three dimensions
  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 $\Real^3$. 
Chengchun Hao, Ling Hsiao, Hai-Liang Li