3 papers
math.AP2025
A Morawetz type energy estimate for wave equation in and application to elastic waves
Ningan Lai, Silu Yin, Yi Zhou
In this paper, we introduce a modified scaling Morawetz multiplier, which produces a weighted Morawetz type energy (non-negative) estimate for the inhomogeneous wave equation in $\…
math.AP2025
Global well-posedness in the critical Besov space of the skew mean curvature flow in
Ning-An Lai, Jie Shao, Yi Zhou +1
In this paper we prove small-data global well-posedness for the skew mean curvature flow of codimension-two submanifolds of \(\mathbb R^{d+2}\) (\(d\ge5\)) in the critical Besov sp…
math.AP2024
Self-dual solution of 3D incompressible Navier-Stokes equations
Ning-An Lai, Yi Zhou
Whether the 3D incompressible Navier-Stokes equations will have a global smooth solution for all smooth, finite energy initial data is a Millennium Prize problem. One of the main d…