Global nonlinear stability of the 2D incompressible viscous non-resistive MHD under sheared magnetic fields
报告题目(Title)：Global nonlinear stability of the 2D incompressible viscous non-resistive MHD under sheared magnetic fields
报告人(Speaker)：蔡圆（复旦大学）
地点(Place)：后主楼1124
时间(Time)：2026年10月9日（周五）10:00-11:00
邀请人(Inviter)：许孝精
报告摘要
This talk addresses the two-dimensional incompressible viscous non-resistive magnetohydrodynamics in the periodic strip, in the presence of a smooth sheared background magnetic field which is bounded and away from zero. Under suitable even-odd symmetry assumptions on the initial perturbations, we show global-in-time nonlinear stability in Lagrangian coordinates. To the best of our knowledge, this is the first global nonlinear stability result for the viscous non-resistive magnetohydrodynamics near a genuinely nonuniform sheared magnetic profile. This is based on joint work with Professor Bin Han and Na Zhao.
