Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Blow-Up Solution and Blow-Up Rate of Bose-Einstein Condensates with Rotational Term

Nyla Basharat

Published Jan 1, 2016• 0 citations
OpenAlex

Related papers

Blow up Solution of Bose-Einstein Condensates with Anisotropic Trapping Potential and Rotation

Christopher Leonard

•Jan 1, 2018•0 citations

Globally smooth solution and blow-up phenomenon for a nonlinearly coupled Schrödinger system in atomic Bose–Einstein condensates

Boling Guo, Qiaoxin Li, Xinglong Wu

Communications in Mathematical Sciences•Jan 1, 2016•0 citations

Blow-up of 2D attractive Bose-Einstein condensates at the crittical rotational speed

Van Duong Dinh, Dinh-Thi Nguyen, Nicolas Rougerie

We study the ground states of a 2D focusing non-linear Schrödinger equation with rotation and harmonic trapping. When the strength of the interaction approaches a critical value from below, the system collapses to a profile obtained from the optimizer of a Gagliardo--Nirenberg interpolation inequality. This was established before in the case of fixed rotation frequency. We extend the result to rotation frequencies approaching, or even equal to, the critical frequency at which the centrifugal force compensates the trap. We prove that the blow-up scenario is to leading order unaffected by such a strong deconfinement mechanism. In particular the blow-up profile remains independent of the rotation frequency.

arXiv:2208.08317•Aug 17, 2022•0 citations

Stability and instability properties of rotating Bose–Einstein condensates

Jack Arbunich, Irina Nenciu, Christof Sparber

arXiv:1809.09236•Letters in Mathematical Physics•Jan 1, 2019•40 citations

Blow-up of 2D attractive Bose-Einstein condensates at the critical rotational speed

Van Duong Dinh, Dinh-Thi Nguyen, Nicolas Rougerie

We study the ground states of a 2D focusing non-linear Schrödinger equation with rotation and harmonic trapping. When the strength of the interaction approaches a critical value from below, the system collapses to a profile obtained from the optimizer of a Gagliardo-Nirenberg interpolation inequality. This was established before in the case of fixed rotation frequency. We extend the result to rotation frequencies approaching, or even equal to, the critical frequency at which the centrifugal force compensates the trap. We prove that the blow-up scenario is to leading order unaffected by such a strong deconfinement mechanism. In particular the blow-up profile remains independent of the rotation frequency.

•Aug 17, 2022•0 citations

Rotations of a Bose-Einstein condensate

Vincent Bretin, Jean Dalibard

•Jan 1, 2004•0 citations
We study the ground states of a 2D focusing non-linear Schrödinger equation with rotation and harmonic trapping. When the strength of the interaction approaches a critical value from below, the system collapses to a profile obtained from the optimizer of a Gagliardo--Nirenberg interpolation inequality. This was established before in the case of fixed rotation frequency. We extend the result to rotation frequencies approaching, or even equal to, the critical frequency at which the centrifugal force compensates the trap. We prove that the blow-up scenario is to leading order unaffected by such a strong deconfinement mechanism. In particular the blow-up profile remains independent of the rotation frequency.
We study the ground states of a 2D focusing non-linear Schrödinger equation with rotation and harmonic trapping. When the strength of the interaction approaches a critical value from below, the system collapses to a profile obtained from the optimizer of a Gagliardo-Nirenberg interpolation inequality. This was established before in the case of fixed rotation frequency. We extend the result to rotation frequencies approaching, or even equal to, the critical frequency at which the centrifugal force compensates the trap. We prove that the blow-up scenario is to leading order unaffected by such a strong deconfinement mechanism. In particular the blow-up profile remains independent of the rotation frequency.