22 citations · 26 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Two dimensional wave--Klein-Gordon equations with semilinear nonlinearities
Shijie Dong, Zoe Wyatt
From the work on the weak-null condition by Lindblad and Rodnianski, it is well-known that `bad' quadratic sourcing terms are allowed to appear in coupled semilinear wave equations…
Stability of a coupled wave-Klein-Gordon system with quadratic nonlinearities
Shijie Dong, Zoe Wyatt
Using the hyperboloidal foliation method, we establish stability results for a coupled wave-Klein-Gordon system with quadratic nonlinearities. In particular, we investigate quadrat…