Speaker: Walter Strauss (Brown University)

Title: Stability of a Hot Plasma in a Torus

Abstract: In a tokamak huge numbers of charged particles whiz around a torus

at relativistic speeds. Finding stable particle configurations is

the holy grail of fusion energy research. We model a collisionless

plasma by the relativistic Vlasov-Maxwell system. There are many

equilibria, of which some are stable and some unstable. In this talk I

will present recent work with Toan Nguyen where the particles reflect

specularly and the field is a perfect conductor. These are however not

the physical boundary conditions. Given an equilibrium of a certain type,

we reduce linear stability to the positivity of a certain non-local linear

operator which is much less complicated than the generator of the full

linearized system.