Affiliation:
1. School of Mathematical Sciences and V.C. & V.R. Key Lab, Sichuan Normal University , Chengdu 610066 , P.R. China
Abstract
Abstract
We consider the blow-up solutions for the Gross-Pitaveskii equation modeling the attractive Boes-Einstein condensate. First, a new variational characteristic is established by computing the best constant of a generalized Gagliardo-Nirenberg inequality. Then, a lower bound on blow-up rate and a new concentration phenomenon of blow-up solutions are obtained in the
L
2
{L}^{2}
supercritical case. Finally, in the
L
2
{L}^{2}
critical case, a delicate limit of blow-up solutions is analyzed.
Cited by
1 articles.
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