2 papers
math.AP2026
The subsonic limit of the 3D Zakharov system
Rui Jia, Jia Shen, Yifei Wu
We obtain the optimal convergence rates in the subsonic limit of the three-dimensional Zakharov system for initial data belonging to the low-regularity Sobolev space $\HH^s=H^s\tim…
math.AP2024
Global well-posedness for the defocusing 3D quadratic NLS in the sharp critical space
Jia Shen, Yifei Wu
In this paper, we prove the global well-posedness of defocusing 3D quadratic nonlinear Schrödinger equation \begin{align*} i\partial_t u + \frac12Δu = |u| u, \end{align*} in its sh…