4 papers · 1 filter
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…
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…
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…
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…