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报告题目：Asymptotic stability for n-dimensional magnetohydrodynamic equations
报 告 人：刘继涛，北京工业大学 教授
报告摘要：This talk is concerned with the stability theory of n-dimensional incompressible and compressible magnetohydrodynamic (MHD for short) equations with only kinematic viscosity or magnetic diffusion in the periodic domain T^n. I will present some new results on the asymptotic stability and sharp decay estimates of this system when the magnetic field close to an equilibrium state satisfying the Diophantine condition. In the present works, by exploiting and effectively utilizing the structure of perturbation system, a new dissipative mechanism is found out and applied so that we can sharply improve the spaces of existing works, where the decay estimates and asymptotic stability of solutions are taking place. Some key ideas of our method will be discussed. This talk is based on joint works with Quansen Jiu and Yaowei Xie.
报告人简介：刘继涛，北京工业大学数学统计学与力学学院，校聘教授、博士生导师，入选多项北京市青年人才项目以及北京工业大学高端人才队伍建设计划—优秀人才。主要研究来源于物理、流体力学以及工程等领域中的偏微分方程，部分成果发表在Calc. Var. Partial Differential Equations, J. Differential Equations, Nonlinearity, J. Math. Fluid Mech.等国际知名期刊，主持国家自然科学基金、北京市自然科学基金等多项科研项目。
报告时间：2024年9月12日 10:00-11:30
报告地点：腾讯会议ID：692 817 208
主办单位：数学与统计学院
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