Dynamical magneto-rotational instability

发布时间：2023-05-23 作者：浏览次数：

Speaker:	林治武教授	DateTime:	2023年5月26日（周五）上午10：00-11：00
Brief Introduction to Speaker: 林治武，美国乔治亚理工学院教授、博士生导师，从事非线性分析及其应用领域的研究工作，在非线性波动方程解的稳定性、解的长时间行为方面作出一些列开创性的工作，研究成果发表在《Invent Math》、《Memoirs of AMS》、《CPAM》、《CMP》、《ARMA》等学术期刊。		Place:	6号楼M201报告厅
Abstract:Magneto-rotational instability (MRI) is an important instability mechanism for rotating flows with magnetic field. In particular, when the strength of the magnetic field tends to zero, the stability criterion for rotating flow is different from the classical Rayleigh criterion for rotating flow without magnetic field. MRI had found many physical applications, for example in the explanation of turbulence and momentum transport in accretion disks. We gave the first rigorous proof of linear MRI and a complete description of the spectra. Moreover, we prove nonlinear stability and instability from the linear stability/instability criteria. This is a joint work with Yucong Wang and Wenpei Wu.