5 papers · 1 filter
When Messages Go Wrong: Understanding Communication Faults in LLM-Based Multi-Agent Systems
Jinhao Zhou, Xiaoyu Zhang, Jiongchi Yu +2
LLM-based multi-agent systems (LLM-MAS) use specialized agents that exchange messages to accomplish complex tasks. Their reliance on networked protocols, remote tools, and model en…
Blow-up or grow-up for the focusing 3D cubic NLS with a repulsive inverse-power potential at the mass--energy threshold
Alex H. Ardila, Zuyu Ma, Ying Wang
We consider the focusing cubic nonlinear Schrodinger equation with a repulsive inverse-power potential , where and . At the mass-energy threshold,…
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 \[ (i\partial_t+Δ)u = -|u|^2 u + |u| u. \] In Luo (2024) and Cheng--Miao--Zhao (2016), the authors established a scattering/blo…
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= 4…
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+Δ_{z}u-y^2 u =- |u|^αu…