6 citations · 9 across the 9 of their papers we have counts for
9 papers
Condensation and Collapse in the Mean-Field Limit of Rotating 2D Bose Gases with Two-Body and Three-Body Interactions
Deke Li, Yuan Li, Qingxuan Wang
We consider a system of interacting bosons in a rotating harmonic trap in , where the two-body interaction is attractive and scaled as with $0<α<1…
Thermodynamic limit and -convergence rate for the cubic-quintic Schrödinger model
Deke Li, Yuan Li, Qingxuan Wang
We investigate the thermodynamic limit for the cubic-quintic Schrödinger model as the size of the domain tends to infinity with fixed density , where denote…
The Ground State of a Cubic-quintic Nonlinear Schrödinger Equation with Radial Potential in the Thomas-Fermi Limit
Deke Li, Qingxuan Wang
We focus on the ground state of the cubic-quintic nonlinear Schrödinger energy functional \begin{gather*} \begin{aligned} {E}(φ)=\frac{1}{2}\int_{\mathbb{R}^d}\left(|\nabla φ|^2+V(…
Optimal convergence rate to the nonrelativistic limit of Chandrasekhar variational model for Neutron stars
Yuanhui Chen, Qingxuan Wang
In this paper, we consider the nonrelativistic limit of Chandrasekhar variational model for neutron stars. We show that the minimizer of Chandrasekhar energy conve…
Traveling waves of NLS System arising in optical material without Galilean symmetry
Yuan Li, Kai Wang, Qingxuan Wang
We consider a system of NLS with cubic interactions arising in nonlinear optics without Galilean symmetry. The absence of Galilean symmetry can lead to many difficulties, such as g…
DocTrack: A Visually-Rich Document Dataset Really Aligned with Human Eye Movement for Machine Reading
Hao Wang, Qingxuan Wang, Yue Li +3
The use of visually-rich documents (VRDs) in various fields has created a demand for Document AI models that can read and comprehend documents like humans, which requires the overc…
Boson Stars with Long-range Perturbations
Qingxuan Wang, Binhua Feng, Yuan Li
We consider the Boson star equation with long-range perturbation given by $$i\partial_t ψ=\sqrt{-\triangle+m^2}\,ψ+β(\frac{1}{|x|^α}\ast |ψ|^2)ψ-(\frac{1}{|x|}\ast |ψ|^2)ψ \ \ \tex…
Normalized ground states for the fractional nonlinear Schrödinger equations
Binhua Feng, Jiajia Ren, Qingxuan Wang
In this paper, we study the existence and instability of standing waves with a prescribed -norm for the fractional Schrödinger equation \begin{equation} i\partial_{t}ψ=(-Δ)^{s…
Concentration Behavior of Nonlinear Hartree-type Equation with almost Mass Critical Exponent
Yuan Li, Dun Zhao, Qingxuan Wang
We study the following nonlinear Hartree-type equation \begin{equation*} -Δu+V(x)u-a(\frac{1}{|x|^γ}\ast |u|^2)u=λu,~\text{in}~\mathbb{R}^N, \end{equation*} where , ,…