Deke Li

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math.AP2024

Thermodynamic limit and $L^{\infty}$ -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 $ρ = N /∣ D ∣$ , where $N$ denote…

math.AP2024

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(…

Thermodynamic limit and L∞-convergence rate for the cubic-quintic Schrödinger model

The Ground State of a Cubic-quintic Nonlinear Schrödinger Equation with Radial Potential in the Thomas-Fermi Limit

Thermodynamic limit and $L^{\infty}$ -convergence rate for the cubic-quintic Schrödinger model