HOME    »    PROGRAMS/ACTIVITIES    »    Annual Thematic Program
Talk Abstract
Global Symmetric Solutions to the Relativistic Vlasov-Poisson Equation in Three Space Dimensions

Robert T. 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.

Back to Workshop Schedule

Back to Reactive Flow and Transport Phenomena