18 citations · 36 across the 12 of their papers we have counts for
12 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…
Stabilization against collapse of 2D attractive Bose-Einstein condensates with repulsive, three-body interactions
Dinh-Thi Nguyen, Julien Ricaud
We consider a trapped Bose gas of identical bosons in two dimensional space with both an attractive, two-body, scaled interaction and a repulsive, three-body, scaled interactio…
On one-dimensional Bose gases with two- and (critical) attractive three-body interactions
Dinh-Thi Nguyen, Julien Ricaud
We consider a one-dimensional, trapped, focusing Bose gas where bosons interact with each other via both a two-body interaction potential of the form an…
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 fr…
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…
Many-Body Blow-Up Profile of Boson Stars with External Potentials
Dinh-Thi Nguyen
We consider a 3D quantum system of identical bosons in a trapping potential , with , interacting via a Newton potential with an attractive interaction strength $…
Blow-up Profile of Neutron Stars in the Chandrasekhar theory
Dinh-Thi Nguyen
We study the Chandrasekhar variational model for neutron stars, with or without an external potential. We prove the existence of minimizers when the attractive interaction strength…
On Blow-up Profile of Ground States of Boson Stars with External Potential
Dinh-Thi Nguyen
We study minimizers of the pseudo-relativistic Hartree functional $$\mathcal{E}_{a}(u):=\|(-Δ+m^{2})^{1/4}u\|_{L^{2}}^{2}-\frac{a}{2}\int_{\mathbb{R}^{3}}(\left|\cdot\right|^{-1}\s…