北航十大网投靠谱网站学术报告
及偏微分方程讨论班
题目: 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibrium
报告人:吴家宏 教授 (美国俄克拉荷马州立大学)
报告时间:2021年1月15日上午9:00-10:00(北京时间)
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https://zoom.us/j/98954893005?pwd=Z0RPcEN6M01EdWZzQ1puWlpMdG5PZz09
Meeting ID: 989 5489 3005 Passcode: 572404
摘要: This talk presents the global existence and stability result on solutions near a background magnetic field to the 3D incompressible magnetohydrodynamic (MHD) system with horizontal dissipation and vertical magnetic diffusion. Due to the lack of the vertical dissipation and the horizontal magnetic diffusion, the stability problem concerned here is difficult and classical approaches no longer apply. This work exploits the extra smoothing and stabilizing effect in the wave structure resulting from the coupling and interaction of the velocity and the magnetic fields. By constructing a suitable energy functional to incorporate this stabilizing effect and employing the bootstrapping argument, we are able to show the desired existence and stability result.
报告人简介:吴家宏教授1988年本科毕业于北京大学,1996年在美国芝加哥大学获得博士学位,师从世界著名数学家Peter Constantin院士.先后工作于美国普林斯顿高等研究院,美国德州大学奥斯汀分校,现为美国俄克拉荷马州立大学终身教授和杰出教授。吴家宏教授长期致力于非线性流体动力学方程的理论研究,在Navier-Stokes方程、准地转方程、Boussinesq方程和MHD方程等数学前沿问题的研究上做出了突出贡献,先后在国际一流的学术刊物(如:CPAM、CMP、ARMA、JFA、Adv.Math、SIAM、AIHP、CPDE、JDE)发表学术论文100余篇.论文引用次数高达3800多次,特别是关于准地转方程的研究结果受到Wolf数学奖得主L. A. Caffarelli等国际一流数学家的广泛关注.
邀请人:郑孝信