3 papers
math.AP2023
Global stability of the Dirac-Klein-Gordon system in two and three space dimensions
Qian Zhang
In this paper we study global nonlinear stability for the Dirac-Klein-Gordon system in two and three space dimensions for small and regular initial data. In the case of two space d…
math.AP2023
Stability of a coupled wave-Klein-Gordon system with non-compactly supported initial data
Qian Zhang
In this paper we study global nonlinear stability for a system of semilinear wave and Klein-Gordon equations with quadratic nonlinearities. We consider nonlinearities of the type o…
math.NA2023
Fully H(gradcurl)-nonconforming Finite Element Method for The Singularly Perturbed Quad-curl Problem on Cubical Meshes
Lixiu Wang, Mingyan Zhang, Qian Zhang
In this paper, we develop two fully nonconforming (both H(grad curl)-nonconforming and H(curl)-nonconforming) finite elements on cubical meshes which can fit into the Stokes comple…