3 papers
math.AP2026
Global nonlinear stability of the 2D incompressible viscous non-resistive MHD under sheared magnetic field
Yuan Cai, Bin Han, Na Zhao
We study the two-dimensional incompressible viscous non-resistive magnetohydrodynamics in the periodic strip , subject to a smooth sheared background magn…
math.AP2025
Small Alfvén Number Limit for the Global-in-time Solutions of Incompressible MHD Equations with General Initial Data
Yuan Cai, Xiufang Cui, Fei Jiang +1
The small Alfvén number (denoted by ) limit (one type of large parameter limits, i.e. singular limits) in magnetohydrodynamic (abbr. MHD) equations was first proposed…
math.AP2024
Global current-vortex sheets in the two-dimensional ideal incompressible MHD
Yuan Cai, Zhen Lei
The magnetohydrodynamic current-vortex sheet is a free boundary problem involving a moving free surface separating two plasma regions. We prove the global nonlinear stability of cu…