Special Session 173: Mathematical and Numerical Analysis on Nonlinear PDEs

Scattering and energy cascade for the 2D Klein-Gordon-Zakharov
Shijie Dong
Southern University of Science and Technology
Peoples Rep of China
Co-Author(s):    Zihua Guo and Kuijie Li
Abstract:
We study the Klein-Gordon--Zakharov system in two spatial dimensions, an important model in plasma physics. For small, smooth, and spatially localized initial data, we establish the global existence of solutions and characterize their sharp long-time behavior, including sharp time decay, scattering, and growth of Sobolev norms. This is joint with Prof. Zihua Guo and Prof. Kuijie Li.