2 citations · 4 across the 10 of their papers we have counts for
10 papers
Scattering for the Klein-Gordon-Zakharov system in two dimensions
Shijie Dong, Zihua Guo, Kuijie Li
We study the Klein-Gordon-Zakharov system in two spatial dimensions, an important model in plasma physics. For small, smooth, and spatially localized initial data, we establish the…
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…
Global solution to the 3D Dirac--Klein-Gordon system with uniform energy bounds
Shijie Dong, Kuijie Li, Xu Yuan
On the (1+3) dimensional Minkowski spacetime, for small, regular initial data, it is well-known that the Dirac-Klein-Gordon system admits a global solution. In the present paper, w…
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…
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…
Navier-Stokes Equation in Super-Critical Spaces
H. Feichtinger, K. Gröchenig, Kuijie Li +1
In this paper we develop a new way to study the global existence and uniqueness for the Navier-Stokes equation (NS) and consider the initial data in a class of modulation spaces $E…
Remarks on the well-posedness of the Euler equations in the Triebel-Lizorkin spaces
Zihua Guo, Kuijie Li
We prove the continuous dependence of the solution maps for the Euler equations in the (critical) Triebel-Lizorkin spaces, which was not shown in the previous works(\cite{Ch02, Ch0…
Blowup criterion for Navier-Stokes equation in critical Besov space with spatial dimensions
Kuijie Li, Baoxiang Wang
This paper is concerned with the blowup criterion for mild solution to the incompressible Navier-Stokes equation in higher spatial dimensions . By establishing an reg…
Dynamical Behavior for the Solutions of the Navier-Stokes Equation
Kuijie Li, Tohru Ozawa, Baoxiang Wang
We study the Cauchy problem for the incompressible Navier-Stokes equations (NS) in three and higher spatial dimensions: \begin{align} u_t -Δu+u\cdot \nabla u +\nabla p=0, \ \ {\rm…