2 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.AP2023
On the energy method for the global solutions to the three dimensional incompressible non-resistive MHD near equilibrium
Yuan Cai, Bin Han, Na Zhao
We prove the global existence of the smooth solutions near equilibrium to the Cauchy problem of the incompressible non-resistive magnetohydrodynamic equations in the whole three di…