|Location:||MSRI: Simons Auditorium|
Plasmas are capable of supporting coherent, large-amplitude electric
fields making plasma-based particles accelerators technologically
attractive for applications ranging from high energy physics to
biomedical imaging. The relativistic Vlasov-Maxwell system is the
standard basis for theoretical study of these devices. Unfortunately,
the plasma states of interest are strongly nonlinear, thus making
quantitative predictions is generally analytically intractable.
Further, direct solution of the governing equations of a six-dimensional
phase space is well beyond the reach of existing and near-term
high-performance computing systems. I will describe a various
reductions of the Vlasov-Maxwell system that exploit the phenomenology
of these devices to obtain models that are computationally tractable
while preserving physical fidelity.