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20182025
most citedGlobal Behavior of Small Data Solutions for The 2D Dirac-Klein-Gordon Equations

1 citations · 1 across the 6 of their papers we have counts for

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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…

math.AP20221 cited

Global Behavior of Small Data Solutions for The 2D Dirac-Klein-Gordon Equations

Shijie Dong, Kuijie Li, Yue Ma +1

In this paper, we are interested in the two-dimensional Dirac-Klein-Gordon system, which is a basic model in particle physics. We investigate the global behaviors of small data sol…

math.AP2021

Global solution to the cubic Dirac equation in two space dimensions

Shijie Dong, Kuijie Li

We are interested in the cubic Dirac equation with mass in two space dimensions, which is also known as the Soler model. We conduct a thorough study on this model wi…

math.AP2019

Navier-Stokes Equation in Super-Critical Spaces

H. Feichtinger, K. Gröchenig, Kuijie Li +1

In this paper we develop a new way to study the global existence and uniqueness for the Navier-Stokes equation (NS) and consider the initial data in a class of modulation spaces $E…