Energy Cascade for Two Nonlinear Wave Systems
Time: 2026-06-02
Published By: He Liu
Speaker(s): Shijie Dong (Southern University of Science and Technology)
Time: 15:00-16:00 June 12, 2026
Venue: Room 78301, Jingchunyuan 78, BICMR
I will present some recent results on the energy cascade phenomenon for nonlinear waves, where energy transfers from high to low frequencies. The core of the analysis is to establish an (almost) sharp lower bound for the $L^2$ norm of the wave component.The first model is the 2D Klein-Gordon-Zakharov equations, and the other one is a weak null wave system. This talk is based on joint work with Zihua Guo, Kuijie Li, Siyuan Ma, Yue Ma, and Xu Yuan.
