TY - JOUR

T1 - Global solutions of the Euler-Maxwell two-fluid system in 3D

AU - Guo, Yan

AU - Ionescu, Alexandru D.

AU - Pausader, Benoit

N1 - Publisher Copyright:
© 2016 Department of Mathematics, Princeton University.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

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U2 - 10.4007/annals.2016.183.2.1

DO - 10.4007/annals.2016.183.2.1

M3 - Article

AN - SCOPUS:84957613339

SN - 0003-486X

VL - 183

SP - 377

EP - 498

JO - Annals of Mathematics

JF - Annals of Mathematics

IS - 2

ER -