3 papers
math.AP2026
Global existence of a strong solution to the initial value problem for the Nernst-Planck-Navier-Stokes system in high space dimensions
Xiangsheng Xu
We study the existence of a strong solution to the initial value problem for the Nernst-Planck-Navier-Stokes (NPNS) system in . The system describes the elec…
math.AP2026
Global regularity for solutions of magnetohydrodynamic equations with large initial data
Xiangsheng Xu
We study the regularity properties of solutions to the initial value problem for the magnetohydrodynamic equations in . We obtain a global in-time strong sol…
math.AP2025
Poiseuille flow of hyperbolic Ericksen-Leslie system in dimension two
Geng Chen, Tao Huang, Xiang Xu +1
In this paper, we study the Poiseuille laminar flow in a tube for the full Ericksen-Leslie system. It is a parabolic-hyperbolic coupled system which may develop singularity in fini…