Dynamical magneto-rotational instability
Prof. Zhiwu Lin
2023-06-06 15:00-16:00
N913
Speaker: Prof. Zhiwu Lin (Georgia Institute of Technology)Time: 15:00-16:00 June 6, 2023 (Tuesday)
Place: N913
Title: Dynamical magneto-rotational instability
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 a rigorous proof of linear MRI and a description of the complete spectra and the exponential trichotomy of the semigroup. Moreover, we prove nonlinear stability and instability from the linear criteria. This is a joint work with Yucong Wang and Wenpei Wu.
