|DATE||January 16 (Thu), 2020|
|SPEAKER||Jang, Jin Woo|
|TITLE||[GS_M_APP] Magnetic confinement for the 2D axisymmetric relativistic Vlasov-Maxwell system in an annulus|
Although the nuclear fusion process has received a great deal of attention in recent years, the amount of the mathematical analysis that supports the stability of the system seems to be relatively insufficient. In this talk, we will discuss the mathematical analysis of the magnetic confinement of the plasma via kinetic equations. We prove the global wellposedness of the Vlasov-Maxwell system in a two-dimensional annulus when a huge external magnetic potential is imposed near the boundary. We assume that the solution is axisymmetric. This work is the first step to a more generalized work on the three-dimensional Tokamak structure. Our method uses the cylindrical-coordinate-forms of the Vlasov-Maxwell system.