Dear Benefactors of Hamiltonian Systems,
The next talk at our seminar by Daniel Peralta-Salas, ICMAT (Spain) -- MHD equilibria in toroidal geometries is on Tuesday, November 22, 2022 at 12PM EST (18:00 in Europe, 10:00am in Arizona and 9:00am in California).
Abstract: The computation of 3D magnetohydrodynamics (MHD) equilibria is of major importance for magnetic confinement devices such as tokamaks or stellarators. In this talk I will present recent results on the existence of stepped pressure MHD equilibria in 3D toroidal domains, where the plasma current exhibits an arbitrary number of current sheets. The toroidal domains where these equilibria are shown to exist do not need to be small perturbations of an axisymmetric domain, and in fact they can have any knotted topology. The proof involves three main ingredients: a Cauchy-Kovalevskaya theorem for Beltrami fields, a Hamilton-Jacobi equation on the two-dimensional torus, and a KAM theorem for divergence-free fields in three dimensions. This is based on joint work with A. Enciso and A. Luque.
We'll keep the Zoom coordinates the same:
Zoom at
https://utoronto.zoom.us/j/99576627828Passcode: 448487
Just a heads up on later talks:
Dec 6 -- Ivan Izmestiev, TU Wien (Austria) -- Folding of quadrilaterals
We will keep updated information on the Hamiltonian Systems Seminar web-page, where occasionally you will be able to find more details.
Best wishes,
--
FROM 223.104.102.*