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Talk Abstract

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

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

Indiana University

glassey@indiana.edu

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 f_{0}(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 f_{0}(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.