30 citations · 64 across the 9 of their papers we have counts for
9 papers
Global existence and stability of viscous Alfvén waves in the large-box limit for MHD systems
Li Xu, Jiahui Zhang
This paper rigorously analyzes how the {\it large box limit} fundamentally alters the global existence theory and dynamics behavior of the incompressible magnetohydrodynamics (MHD)…
Global strong solutions of 3D Compressible Navier-Stokes equations with short pulse type initial data
Ling-Bing He, Li Xu, Ping Zhang
Short pulse initial datum is referred to the one supported in the ball of radius and with amplitude which looks like a pulse. It was first introduced by Christodo…
Long time existence for a two-dimensional strongly dispersive Boussinesq system
Jean-Claude Saut, Li Xu
We prove a long time existence result for the solutions of a two-dimensional Boussinesq system modeling the propagation of long, weakly nonlinear water waves. This system is except…
Long time existence for a strongly dispersive Boussinesq system
Jean-Claude Saut, Li Xu
This paper is concerned with the one-dimensional version of a specific member of the (abcd) family of Boussinesq systems having the higher possible dispersion. We will establish tw…
Long time existence for the Boussinesq -- Full Dispersion systems
Jean-Claude Saut, Li Xu
We establish the long time existence of solutions for the "Boussinesq-Full Dispersion" systems modeling the propagation of internal waves in a two-layer system. For the two-dimensi…
On the ideal magnetohydrodynamics in three-dimensional thin domains: well-posedness and asymptotics
Li Xu
We consider the ideal magnetohydrodynamics (MHD) subjected to a strong magnetic field along direction in three-dimensional thin domains with sl…
The Cauchy problem on large time for surface waves type Boussinesq systems II
Jean-Claude Saut, Chao Wang, Li Xu
This paper is a continuation of a previous work by two of the Authors on long time existence for Boussinesq systems modeling the propagation of long, weakly nonlinear water waves.…
Global small solutions to three-dimensional incompressible MHD system
Li Xu, Ping Zhang
In this paper, we consider the global wellposedness of 3-D incompressible magneto-hydrodynamical system with small and smooth initial data. The main difficulty of the proof lies in…
Global small solutions to 2-D incompressible MHD system
Fanghua Lin, Li Xu, Ping Zhang
In this paper, we consider the global wellposedness of 2-D incompressible magneto-hydrodynamical system with small and smooth initial data. It is a coupled system between the Navie…