1 citations · 1 across the 3 of their papers we have counts for
7 papers
Local Density Approximation and Other Limit Regimes for a Homogeneous Bose Gas with Repulsive Three-Body Interactions in Low-Dimensional Space
Thi Anh Thu Doan, Dinh-Thi Nguyen
In the whole space of low spatial dimensions, namely , we study the minimizers of an energy functional with an attractive cubic nonlinearity and a repulsive quintic nonli…
Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the two-dimensional case
Dinh-Thi Nguyen
We consider a homogeneous Bose gas composed of identical bosons occupying an infinite two-dimensional space. This gas exhibits both an attractive two-body interaction and a rep…
Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the one-dimensional case
Dinh-Thi Nguyen
We investigate the behavior of a homogeneous one-dimensional Bose gas composed of identical bosons experiencing attractive two-body and repulsive three-body interactions. Utili…
Vortex patterns of a two-dimensional Bose-Einstein condensate at the almost critical rotation speed
Bao-Duy Le, Dinh-Thi Nguyen
We study vortex patterns of a two-dimensional Bose-Einstein condensate rotating close to the centrifugal limit, treating the two signs of the contact interaction with the method ea…
Blow-Up Profile of 2D Focusing Mixture Bose Gases
Dinh-Thi Nguyen
We study the collapse of a many-body system which is used to model two-component Bose-Einstein condensates with attractive intra-species interactions and either attractive or repul…
Blow-up profile of neutron stars in the Hartree-Fock-Bogoliubov theory
Dinh-Thi Nguyen
We consider the gravitational collapse for neutron stars in the Hartree-Fock-Bogoliubov theory. We prove that when the number particle becomes large and the gravitational constant…