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arXiv · 1303.1060

The Euler-Maxwell two-fluid system in 3D

Yan Guo·Alexandru D. Ionescu·Benoit Pausader
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Abstract

The fundamental "two-fluid" model for describing plasma dynamics is given by the Euler-Maxwell system, in which compressible ion and electron fluids 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 dimensions for the Euler-Maxwell system. Our construction applies equally well to other plasma models such as the Euler-Poisson system for two-fluids and a relativistic Euler-Maxwell system for two fluids. Our solutions appear to be the first nontrivial global smooth solutions in all of these models.

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Yan Guo, Alexandru D. Ionescu, Benoit Pausader. 2013-03-05. The Euler-Maxwell two-fluid system in 3D. https://arxiv.org/abs/1303.1060

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