convergence rates 1normal form analysis 1sobolev regularity 1strichartz estimates 1subsonic limit 1zakharov system 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
The subsonic limit of the 3D Zakharov system
Rui Jia, Jia Shen, Yifei Wu
The paper proves optimal first‑ and second‑order convergence rates for the three‑dimensional Zakharov system in the subsonic limit, using low‑regularity Sobolev initial data and wi…
math.NA2026
Optimal error bounds on the exponential wave integrator for nonlinear Schrödinger equations with highly singular potential
Weizhu Bao, Chushan Wang, Yifei Wu
We establish error estimates of the first-order exponential wave integrator (EWI) for the nonlinear Schrödinger equation (NLSE) with a highly singular potential in …
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 + \frac12Îu = |u| u, \end{align*} in its…