5 papers · 1 filter
Finite time singularities in the Landau equation with very hard potentials
Jacob Bedrossian, Jiajie Chen, Maria Pia Gualdani +3
We consider the inhomogeneous Landau equation with and construct smooth, strictly positive initial data that develop a finite time singularity. The -norm…
Conditional Liouville theorems for the Navier-Stokes equations
Matei P. Coiculescu, Jincheng Yang
We present a novel approach to the Liouville problem for the stationary Navier-Stokes equations. As an application of our method, we prove conditional Liouville theorems with assum…
Energy dissipation near the outflow boundary in the vanishing viscosity limit
Jincheng Yang, Vincent R. Martinez, Anna L. Mazzucato +1
We consider the incompressible Navier-Stokes and Euler equations in a bounded domain with non-characteristic boundary condition, and study the energy dissipation near the outflow b…
Vorticity interior trace estimates and higher derivative estimates via blow-up method
Jincheng Yang
We derive several nonlinear a priori trace estimates for the 3D incompressible Navier-Stokes equation, which extend the current picture of higher derivative estimates in the mixed…
Layer separation of the 3D incompressible Navier-Stokes equation in a bounded domain
Alexis F. Vasseur, Jincheng Yang
We provide an unconditional upper bound for the boundary layer separation of Leray-Hopf solutions in a smooth bounded domain. By layer separation, we mean the discrepancy bet…