勷勤数学•专家报告

题      目：Stability and Large-Time Behavior of Incompressible MHD Flows Near a Background Magnetic Field

报  告  人：吴家宏 教授  (邀请人：李进开)

                                             University of Notre Dame

时      间：7月30日  15：00-16：00

地     点：华南师大第一课室大楼东102

报告人简介:

        Dr. Jiahong Wu is a Professor of Mathematics at the University of Notre Dame. His research focuses on the analysis and applications of fluid dynamics models, including the Navier-Stokes, the Boussinesq equations and magnetohydrodynamics (MHD) equations.

摘      要：

        Physical experiments and numerical simulations have revealed a remarkable stabilizing effect of magnetic fields: they can smooth and stabilize electrically conducting fluids. This phenomenon has motivated extensive research into the underlying mechanisms through the framework of magnetohydrodynamics (MHD) equations. In this talk, I will present recent results on the nonlinear stability and long-time behavior of three-dimensional incompressible MHD systems with anisotropic dissipation. These results offer new insights into how magnetic fields interact with fluid flows to enhance regularity and suppress instabilities. Mathematically, the MHD system describing perturbations around a background magnetic field can be converted into wave-type equations, which highlights the inherent stabilizing effect of the magnetic field.