6 papers
Threshold dynamics for the 4 mass-energy double critical NLS
Alex H. Ardila, Zuyu Ma, Jason Murphy +1
We consider the 4 mass-energy double critical NLS \[ (i\partial_t+Î)u = -|u|^2 u + |u| u. \] In Luo (2024) and Cheng--Miao--Zhao (2016), the authors established a scattering/bl…
Threshold Scattering for the Energy-Critical NLS with a Repulsive Inverse Square Potential
Zuyu Ma, Yilin Song, Kai Yang +1
We study the threshold scattering problem for the energy-critical nonlinear Schrödinger equation with a repulsive inverse-square potential in dimensions $d=…
Dynamics of focusing nonlinear Schrödinger equation with partial harmonic confinement in higher dimensions
Tianhao Liu, Zuyu Ma, Yilin Song +1
We study the following focusing intercritical nonlinear Schrödinger equation with partial harmonic confinement: \begin{equation*} \begin{cases} i\partial_t u+Î_{z}u-y^2 u =- |u|^…
Scattering norm estimate near the threshold for the energy-subcritical NLS
Zuyu Ma
We consider the focusing energy-subcritical Schrödinger equations. In earlier works by Holmer-Roudenko \cite{holmer}, Duyckaerts-Holmer-Roudenko \cite{duyckaerts2}, Akahori-Nawa \…
Dynamics of subcritical threshold solutions for the 4d energy-critical NLS
Zuyu Ma, Changxing Miao, Jason Murphy +1
We study dynamics of the 4 energy-critical nonlinear Schrödinger equation at the ground state energy. Previously, Duyckaerts and Merle [Geom. Funct. Anal. (2009)] proved that a…
Classification of the minimal-mass blowup solutions to the two dimensional focusing cubic nonlinear Schrödinger system
Xing Cheng, Zuyu Ma, Jiqiang Zheng
In this article, we study the two dimensional focusing finitely and infinitely coupled cubic nonlinear Schrödinger system when the mass is equal to the scattering threshold. For t…