A new blow-up criterion for Gross-Pitaevskii equation

作者：Yue, Zhongtao^*; Li, Xiaoguang; Zhang, Jian

来源：Applied Mathematics Letters, 2016, 62: 16-22.

DOI：10.1016/j.aml.2016.06.007

• Gross-Pitaevskii equation
• Invariant set
• Blow-up

This paper is devoted to the study of the Gross-Pitaevskii equation, which describes the attractive Bose-Einstein condensate under a magnetic trap. By establishing an invariant set and applying the Gagliardo-Nirenberg type inequality, we then get the existence of blow-up solutions with arbitrary large initial energy.

• 出版日期2016-12
• 单位四川师范大学