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arXiv · 1605.05340

The Euler--Maxwell system for electrons: global solutions in $2D$

Yu Deng·Alexandru D. Ionescu·Benoit Pausader
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Abstract

A basic 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. In this paper we consider the "one-fluid" Euler--Maxwell model for electrons, in 2 spatial dimensions, and prove global stability of a constant neutral background.

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Yu Deng, Alexandru D. Ionescu, Benoit Pausader. 2016-05-17. The Euler--Maxwell system for electrons: global solutions in $2D$. https://doi.org/10.1007/s00205-017-1114-3

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