3 papers
math.AP2026
Approximate traveling waves for the focusing NLS with an external potential
Luke Baker, Xuemei Li, Jason Murphy
We construct approximate traveling wave solutions for the focusing cubic NLS perturbed by a rapidly decaying external potential. As an application, we demonstrate that there e…
math.AP2026
Construction of two-bubble solutions for the energy-critical Hartree equation
Jacek Jendrej, Xuemei Li, Guixiang Xu
We construct a pure two-bubble solution for the focusing, energy-critical Hartree equation in space dimension . The constructed solution is spherically symmetric, global…
math.AP2025
Global dynamics above the ground state for the energy-critical Hartree equation with radial data
Xuemei Li, Chenxi Liu, Guixiang Xu
Based on the concentration-compactness-rigidity argument in \cite{KenM:NLS,KenM:NLW} and the non-degeneracy of the ground state in \cite{LLTX:Nondeg,LLTX:g-Hart,LTX:Nondeg}, long t…