Some references about Euler-Maxwell systems.
This is not at all a complete reference on the topic, just a place to find some informations. If you feel like something is missing or if you have any question, do not hesitate to contact me.
These notes are written mostly for my own benefit and might be full of errors, approximations, misquotations. Do not hesitate to contact me if you find typos, errors etc...
Some notes on the (special) relativistic version of the equations.
Some notes note - I, note - II on the study of quasilinear dispersive equations.
Some work on derivation of models from Euler-Maxwell
N. Masmoudi - K.Nakanishi
Ion system Y. Guo - X. Pu, KdV limit of the Euler-Poisson system arXiv
D. Lannes - F. Linares - J.C. Saut, The Cauchy problem for the Euler-Poisson system and derivation of the Zakharov-Kuznetsov equation arXiv
D. Gerard-Varet - D. Han-Kwan - F. Rousset, Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries arXiv
D. Gerard-Varet - D. Han-Kwan - F. Rousset, Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries II arXiv