5 papers · 1 filter
On the pointwise convergence of NLS flow on
Fanfei Meng, Yilin Song, Chenmin Sun +2
In this paper, we study the almost everywhere convergence of the cubic nonlinear Schrödinger flow to the initial data on , \begin{equation*} iu_t + Δ_g u = |u|^2u, \qu…
Threshold solutions for the energy-critical NLS system with quadratic interaction
Alex H. Ardila, Liliana Cely, Fanfei Meng
In this paper, we study the Cauchy problem for a quadratic nonlinear Schrödinger system in dimension six. In~\cite{GaoMengXuZheng}, the authors classified the behavior of solutions…
The dynamics of the focusing NLH with a potential beyond the mass-energy threshold
Shuang Ji, Jing Lu, Fanfei Meng
We study the dynamics of the focusing nonlinear Hartree equation with a Kato potential under so…
On the energy-critical quadratic nonlinear Schrödinger system with three waves
Fanfei Meng, Sheng Wang, Chengbin Xu
In this article, we consider the dynamics of the energy-critical quadratic nonlinear Schrödinger system $\[ \left\{ \begin{aligned} & i u^1_t + κ_1 Δu^1 = -\overline{u^2}u^3, \\ &…
Long time behaviors for the inhomogeneous NLS with a potential in
Fanfei Meng, Sheng Wang, Chengbin Xu
In this article, we aim to study the scattering of the solution to the focusing inhomogeneous nonlinear Schrödinger equation with a potential of form \begin{align*} i\partial_t u+Δ…