Kinetic Models of Collisionless Plasmas

Research Horizons Seminar
Wednesday, September 10, 2008 - 12:00
1 hour (actually 50 minutes)
Skiles 255
School of Mathematics, Georgia Tech
A plasma is a gas of ionized particles. For a dilute plasma of very high temperature, the collisions can be ignored. Such situations occur, for example, in nuclear fusion devices and space plasmas. The Vlasov-Poisson and Vlasov-Maxwell equations are kinetic models for such collisionless plasmas. The Vlasov-Poisson equation is also used for galaxy evolution. I will describe some mathematical results on these models, including well-posedness and stability issues.