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