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03/19/02 Colloquium
DR. ROBERT GLASSEY
Department of Mathematics
Indiana niversity
Department of Mathematics
Indiana niversity
COLLISIONLESS PLASMAS AND THE VLASOV-MAXWELL EQUATIONS
Abstract: The Vlasov-Maxwell equations are the equations of motion for a collisionless plasma. These are kinetic equations that given high temperature, low density ionized gases in which electromagnetic forces dominate collisional effects. In this expository lecture we will "derive" the system, provide specific physical examples and set up the major question: does the initial-value problem have a smooth global solution for smooth data of unrestricted size? That is, are there shocks in collisionless plasmas? Partial answers and known results will be surveyed.