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math.AP2025
Scattering for the Klein-Gordon-Zakharov system in two dimensions
Shijie Dong, Zihua Guo, Kuijie Li
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…
math.AP2024
Large data global existence for coupled massive-massless wave-type systems
Yuan Cai, Shijie Dong, Kuijie Li +1
We consider 3D Klein-Gordon-Zakharov (KGZ) and Dirac-Klein-Gordon (DKG) systems, where a common feature is that there exist both massless and massive fields in each system. We esta…
math.AP2023
Cubic Dirac equations with a class of large data
Shijie Dong, Kuijie Li, Jingya Zhao
We are interested in massless cubic Dirac equations in two and three space dimensions, known as the Soler model. The solution to this model is known as a wave function, which has t…