We prove small data global existence and scattering for quasilinear systems of Klein-Gordon equations with different speeds, in dimension three. As an application, we obtain a robust global stability result for the Euler-Maxwell equations for electrons.
Cite this article
Alexandru D. Ionescu, Benoît Pausader, Global solutions of quasilinear systems of Klein–Gordon equations in 3D. J. Eur. Math. Soc. 16 (2014), no. 11, pp. 2355–2431DOI 10.4171/JEMS/489