Global Symmetric Solutions to the Relativistic Vlasov-Poisson Equation in Three Space Dimensions

Friday, May 26, 2000 - 10:15am - 10:55am
Keller 3-180
Robert Glassey (Indiana University)
A collisionless plasma is modeled by the Vlasov-Maxwell system. In the presence of very large velocities, relativistic corrections are meaningful. When magnetic effects are ignored this formally becomes the relativistic Vlasov-Poisson equation. The initial value for the phase space density f0(x,v) is assumed to be sufficiently smooth, nonnegative and cylindrically symmetric. If the (two-dimensional) angular momentum is bounded away from zero on the support of f0(x,v), it is shown that a smooth solution to the Cauchy problem exists for all times.

This is joint work with Jack Schaeffer of Carnegie Mellon University.