Global solutions of the Euler-Maxwell two-fluid system in 3D

Yan Guo, Alexandru D. Ionescu, Benoit Pausader

Research output: Contribution to journalArticlepeer-review

66 Scopus citations


The fundamental two-fluid model for describing plasma dynamics is given by the Euler-Maxwell system, in which compressible ion and elec-tron uids interact with their own self-consistent electromagnetic field. We prove global stability of a constant neutral background, in the sense that irrotational, smooth and localized perturbations of a constant background with small amplitude lead to global smooth solutions in three space di-mensions for the Euler-Maxwell system. Our construction is robust in dimension 3 and applies equally well to other plasma models such as the Euler-Poisson system for two-fluids and a relativistic Euler-Maxwell sys-tem for two fluids. Our solutions appear to be the first nontrivial global smooth solutions in all of these models.

Original languageEnglish (US)
Pages (from-to)377-498
Number of pages122
JournalAnnals of Mathematics
Issue number2
StatePublished - 2016

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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