[Lecture] The academic report of Doctor Yang Cheng from University of Toronto
Update Time:2022-06-01 15:20:00

TopicA Basis of Casimirs in 3D Magnetohydrodynamics

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

Zoom Cloud Meeting ID897 2320 4402

Password: 984502


Speaker: Dr.Yang Cheng


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