Abstract
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 language | English (US) |
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Pages (from-to) | 377-498 |
Number of pages | 122 |
Journal | Annals of Mathematics |
Volume | 183 |
Issue number | 2 |
DOIs | |
State | Published - Jan 1 2016 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty