2 papers
math.AP2025
A geometric characterization of potential Navier-Stokes singularities
Zhen Lei, Xiao Ren, Gang Tian
For a local suitable weak solution to the Navier-Stokes equations, we prove that if the vorticity vectors belong to a double cone in regions of high vorticity magnitude, then the s…
math.AP2024
Global current-vortex sheets in the two-dimensional ideal incompressible MHD
Yuan Cai, Zhen Lei
The magnetohydrodynamic current-vortex sheet is a free boundary problem involving a moving free surface separating two plasma regions. We prove the global nonlinear stability of cu…