15 citations · 26 across the 12 of their papers we have counts for
7 papers · 1 filter
Superintegrability on the Dunkl oscillator model in three-Dimensional spaces of constant curvature
Shi-Hai Dong, Amene Najafizade, Hossein Panahi +2
This paper has studied the three-dimensional Dunkl oscillator models in a generalization of superintegrable Euclidean Hamiltonian systems to curved ones. These models are defined b…
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…
Asymptotic stability for the Dirac--Klein-Gordon system in two space dimensions
Shijie Dong, Zoe Wyatt
We study the Dirac--Klein-Gordon system in spacetime dimensions. We show global existence of the solutions, as well as sharp time decay and linear scattering. One key advance…
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…
Stability of some two dimensional wave maps: a wave--Klein-Gordon model
Shijie Dong, Zoe Wyatt
We are interested in the stability of a class of totally geodesic wave maps, as recently studied by Abbrescia and Chen, and later by Duan and Ma. The relevant equations of motion a…