16 citations · 25 across the 6 of their papers we have counts for
Showing 2022 · math.APShow all
2 papers · 2 filters
math.AP2022
Quantitative partial regularity of the Navier-Stokes equations and applications
Zhen Lei, Xiao Ren
We prove a logarithmic improvement of the Caffarelli-Kohn-Nirenberg partial regularity theorem for the Navier-Stokes equations. The key idea is to find a quantitative counterpart f…
math.AP2022
Radiation of the energy-critical wave equation with compact support
Zhen Lei, Xiao Ren, Zhaojie Yang
We prove exterior energy lower bounds for (nonradial) solutions to the energy-critical nonlinear wave equation in space dimensions , with compactly supported initial…