中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
偏微分方程研讨班
Speaker: 蔡圆 副教授（复旦大学）
Inviter: 张平
Language: Chinese
Title: Global nonlinear stability of the 2D incompressible viscous non-resistive MHD under sheared magnetic field
Time & Venue: 2026年10月7日（星期三） 14：30-15：30 南楼N818
Abstract: 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 odd-even 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 nonconstant sheared magnetic profile. These is based on joint work with Professor Bin Han and Na Zhao.
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