8 citations · 11 across the 8 of their papers we have counts for
14 papers
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…
Asymptotic behavior of 2D Wave-Klein-Gordon coupled system under null condition
Shijie Dong, Yue Ma, Xu Yuan
We study the 2D coupled wave-Klein-Gordon systems with semi-linear null nonlinearities and . The main result states that the solution to the 2D coupled systems exists…
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…
Global Existence and Scattering of the Klein-Gordon-Zakharov System in Two Space Dimensions
Shijie Dong, Yue Ma
We are interested in the Klein-Gordon-Zakharov system in , which is an important model in plasma physics with extensive mathematical studies. The system can be re…
The top-order energy of quasilinear wave equations in two space dimensions is uniformly bounded
Shijie Dong, Philippe G. LeFloch, Zhen Lei
Alinhac solved a long-standing open problem in 2001 and established that quasilinear wave equations in two space dimensions with quadratic null nonlinearities admit global-in-time…
Global solution to the Klein-Gordon-Zakharov equations with uniform energy bounds
Shijie Dong
We are interested in the Klein-Gordon-Zakharov equations in , and we aim to show that the energy for the global solution to the equations is uniformly bounded, an…