Presentation of work on (asymptotic) analysis of non-linear time-dependent PDEs modelling fast, self-interacting charged fermions in relativistic quantum mechanics, from the Dirac-Maxwell to Vlasov/Euler-Poisson equations. I focus on intermediate first and second order in 1/c models, such as the Pauli-Poisswell and Euler-Darwin equations, which are useful e.g. in plasma physics.
This is joint work with Norbert J. Mauser (WPI c/o U. Vienna), Pierre Germain (ICL) and Changhe Yang (Caltech).
This video was produced by the SITE Research Center at New York University, as part of their talk series.
