8 citations · 11 across the 8 of their papers we have counts for
16 papers · 1 filter
Global dynamics of a supercritical wave equation in a large data regime
Shijie Dong, Zoe Wyatt, Jingya Zhao
We prove the existence of global solutions to the nonlinear wave equation in in the energy-supercritical regime , for a cl…
Generically sharp decay and blowing up at infinity for a weak null wave system
Shijie Dong, Siyuan Ma, Yue Ma +1
We study a system of semilinear wave equations satisfying the weak null condition, which can be regarded as a simplified model for the Einstein vacuum equations. The main objective…
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…