Concentration of blow-up solutions for the Gross-Pitaveskii equation

Autor:	Zhu Shihui
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	attractive bose-einstein condensate gross-pitaveskii equation blow-up solution blow-up rate concentration 35q55 81q99 Analysis QA299.6-433
Zdroj:	Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 4317-4345 (2024)
Druh dokumentu:	article
ISSN:	2191-950X 2024-0007
DOI:	10.1515/anona-2024-0007
Popis:	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 L2{L}^{2} supercritical case. Finally, in the L2{L}^{2} critical case, a delicate limit of blow-up solutions is analyzed.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/26be3584e53649d5b3b26f7a3fe7d1b1 Zobrazit plný text záznamu View record in DOAJ