11 citations · 25 across the 15 of their papers we have counts for
5 papers · 1 filter
Sharp Strichartz estimates on quadratic irrational tori
Rui Liang, Shunlin Shen, Yuzhao Wang
We prove sharp Strichartz estimates for two-dimensional periodic Schrödinger flows with integral diagonal symbols where $a,b \in \mathbb Z \setminus \{0\}…
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 $\ma…
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 i…
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…
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…