Topic：A Basis of Casimirs in 3D Magnetohydrodynamics

Beijing Time：June 2, 2022, Thursday, 10:00-11:30am 

Zoom Cloud Meeting ID：897 2320 4402

Password: 984502

Link: https://utoronto.zoom.us/j/89723204402 

Speaker: Dr.Yang Cheng

Abstract：

We prove that any regular Casimir in 3D magnetohydrodynamics is a function of the magnetic helicity and cross-helicity. In other words, these two helicities are the only independent regular integral invariants of the coadjoint action of the MHD group $SDiff(M)\ltimes\mathfrak X^*(M)$, which is the semidirect product of the group of volume-preserving diffeomorphisms and the dual space of its Lie algebra. This is a joint work with Boris Khesin and Daniel Peralta-Salas.

Brief introduction of the speaker：

Cheng Yang, a postdoctoral fellow of Department of Mathematics, University of Toronto, graduated from Fudan University with a PhD in 2017. He mainly researched on fluid mechanics and dynamical systems. Related research results had been published in TAMS, IMRN, Nonlinearity and other academic journals.

Edited by: Li Tiantian

Source: School of Natural Sciences