4 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…
Uniform-in-mass global existence for 4D Dirac-Klein-Gordon equations
Jingya Zhao
We are interested in four-dimensional Dirac-Klein-Gordon equations, a fundamental model in particle physics. The main goal of this paper is to establish global existence of solutio…
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…
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…