Shunlin Shen

activity

20202026

most citedThe rigorous derivation of the

T^{2}

focusing cubic NLS from 3D

11 citations · 25 across the 15 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.AP2021

The derivation of the compressible Euler equation from quantum many-body dynamics

Xuwen Chen, Shunlin Shen, Jiahao Wu +1

We study the three dimensional many-particle quantum dynamics in mean-field setting. We forge together the hierarchy method and the modulated energy method. We prove rigorously tha…

math.AP2021★ 9 cited

The unconditional uniqueness for the energy-supercritical NLS

Xuwen Chen, Shunlin Shen, Zhifei Zhang

We consider the cubic and quintic nonlinear Schrödinger equations (NLS) under the $R^{d}$ and $T^{d}$ energy-supercritical setting. Via a newly developed unified…