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 2025 · math.APShow all

3 papers · 2 filters

math.AP2025

Asymptotic stability of the symmetric flow via inviscid damping and enhanced dissipation

Qi Chen, Hao Li, Shunlin Shen +1

In this paper, we establish the inviscid damping and enhanced dissipation estimates for the linearized Navier-Stokes system around the symmetric flow in a finite channel with the n…

math.AP2025

Global stability of the inhomogeneous sheared Boltzmann equation in torus

Renjun Duan, Shuangqian Liu, Shunlin Shen

Homo-energetic solutions to the spatially homogeneous Boltzmann equation have been extensively studied, but their global stability in the inhomogeneous setting remains challenging…

math.AP2025

$l^{2}$ -decoupling and the unconditional uniqueness for the Boltzmann equation

Xuwen Chen, Shunlin Shen, Zhifei Zhang

We broaden the application of the $l^{2}$ -decoupling theorem to the Boltzmann equation. We prove Strichartz estimates for the linear problem in the $T^{d}$ setting. We estab…

Asymptotic stability of the symmetric flow via inviscid damping and enhanced dissipation

Global stability of the inhomogeneous sheared Boltzmann equation in torus

l2-decoupling and the unconditional uniqueness for the Boltzmann equation

$l^{2}$ -decoupling and the unconditional uniqueness for the Boltzmann equation