# Graduate Student / Postdoc Seminar

#### Fast numerical schemes for the stepped pressure plasma model

**Speaker:**
Antoine Cerfon, Courant (NYU)

**Location:**
Warren Weaver Hall 1302

**Date:**
Friday, January 28, 2022, 11:15 a.m.

**Synopsis:**

The equations determining static magnetohydrodynamic steady-states in general toroidal geometries are conjectured to generically lead to unphysical non-integrable current singularities for the physically desirable steady-states. In the last 25 years, a new model for confined magnetized plasma steady-states, based on a piecewise constant pressure profile approximation, has been developed to study these singularities of the MHD model, and analyze and design fusion experiments [1,2]. In this talk, we will discuss some properties of this stepped pressure model, and present a new integral equation based numerical method to compute stepped pressure steady-states.

[1] O.P. Bruno and P. Laurence P, Commun. Pure Appl. Math. 49 1717 (1996)

[2] R.L. Dewar, M.J. Hole, M. McGann, R. Mills, and S.R. Hudson, Entropy 10, 621 (2008)