Profiles of blow-up solutions for the Gross-Pitaevskii equation

This paper is concerned with the blow-up solutions of the Cauchy problem for Gross-Pitaevskii equation. In terms of Merle and Raphael’s arguments as well as Carles’ transformation, the limiting profiles of blow-up solutions are obtained. In addition, the nonexistence of a strong limit at the blow-up time and the existence of L 2 profile outside the blow-up point for the blow-up solutions are obtained.