Global well-posedness for the Gross-Pitaevskii equation with an angular   momentum rotational term
  In this paper, we establish the global well-posedness of the Cauchy problem for the Gross-Pitaevskii equation with an rotational angular momentum term in the space $\Real^2$. 
Chengchun Hao, Ling Hsiao, Hai-Liang li