2 papers
math.NA2025
Computing rough solutions of the KdV equation below
Jiachuan Cao, Buyang Li, Yifei Wu +1
We establish a novel numerical and analytical framework for solving the Korteweg--de Vries (KdV) equation in the negative Sobolev spaces, where classical numerical methods fail due…
math.NA2024
The cubic nonlinear Schrödinger equation with rough potential
Norbert J. Mauser, Yifei Wu, Xiaofei Zhao
We consider the cubic nonlinear Schrödinger equation with a spatially rough potential, a key equation in the mathematical setup for nonlinear Anderson localization. Our study compr…