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 2023 · math.APShow all

3 papers · 2 filters

math.AP2023★ 2 cited

Sharp Global Well-posedness and Scattering of the Boltzmann Equation

Xuwen Chen, Shunlin Shen, Zhifei Zhang

We consider the 3D Boltzmann equation for the Maxwellian particle and soft potential with an angular cutoff. We prove sharp global well-posedness with initial data small in the sca…

math.AP2023★ 2 cited

Well/Ill-posedness of the Boltzmann Equation with Soft Potential

Xuwen Chen, Shunlin Shen, Zhifei Zhang

We consider the Boltzmann equation with the soft potential and angular cutoff. Inspired by the methods from dispersive PDEs, we establish its sharp local well-posedness and ill-pos…

math.AP2023★ 1 cited

On the mean-field and semiclassical limit from quantum $N$ -body dynamics

Xuwen Chen, Shunlin Shen, Zhifei Zhang

We study the mean-field and semiclassical limit of the quantum many-body dynamics with a repulsive $δ$ -type potential $N^{3 β} V (N^{β} x)$ and a Coulomb potential, which leads to a macr…

Sharp Global Well-posedness and Scattering of the Boltzmann Equation

Well/Ill-posedness of the Boltzmann Equation with Soft Potential

On the mean-field and semiclassical limit from quantum N-body dynamics

On the mean-field and semiclassical limit from quantum $N$ -body dynamics