collaborators

8 papers

math.AP2026

Unconditional Uniqueness for the Energy-critical and Energy-supercritical Quadratic NLS

Shunlin Shen

We study the quadratic nonlinear Schrödinger equation in energy-critical and energy-supercritical regimes and establish unconditional uniqueness at critical regularity on both $\m…

math.AP2026

Norm inflation for the cubic hyperbolic NLS on

Shunlin Shen, Yuzhao Wang

We prove norm inflation for the cubic hyperbolic nonlinear Schrödinger equation in for every . The scaling-critical point …

math.AP2026

Sharp Ill-posedness of the Hard-sphere Boltzmann Equation

Xuwen Chen, Yan Guo, Shunlin Shen +1

We investigate the ill-posedness mechanism of the hard-sphere Boltzmann equation in Sobolev space. Via a direct construction, we prove a strong-weak type ill-posedness…

math.AP2026

-decoupling and the unconditional uniqueness for the Boltzmann equation

Xuwen Chen, Shunlin Shen, Zhifei Zhang

We broaden the application of the -decoupling theorem to the Boltzmann equation. We prove Strichartz estimates for the linear problem in the setting. We estab…

math.AP2026

Asymptotic stability threshold of the 2-D monotone shear flow with no-slip boundary condition

Zhen Li, Shunlin Shen, Zhifei Zhang

In this paper, we investigate the asymptotic stability threshold problem for the 2-D Navier-Stokes equations in a finite channel with no-slip boundary conditions, around monotone s…

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…