Journal of the European Mathematical Society


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Volume 16, Issue 11, 2014, pp. 2355–2431
DOI: 10.4171/JEMS/489

Global solutions of quasilinear systems of Klein–Gordon equations in 3D

Alexandru D. Ionescu[1] and Benoît Pausader[2]

(1) Department of Mathematics, Princeton University, Fine Hall, Washington Road, NJ 08544-1000, Princeton, USA
(2) Department of Mathematics, Princeton University, Fine Hall, Washington Road, NJ 08544, Princeton, USA

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.

Keywords: Quasilinear Klein–Gordon systems, global stability and scattering, Euler–Maxwell one-fluid system

Ionescu Alexandru, Pausader Benoît: Global solutions of quasilinear systems of Klein–Gordon equations in 3D. J. Eur. Math. Soc. 16 (2014), 2355-2431. doi: 10.4171/JEMS/489