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

PDE and Applied Math Seminar

Speaker: Alex Ionescu, Princeton
Location: 2112 MSB
Start time: Thu, Nov 6 2014, 4:10PM

A basic model for describing plasma dynamics is given by the Euler-Maxwell two-fluid system, in which compressible ion and electron fluids interact with their own self-consistent electromagnetic field. In this talk we consider a slightly simplified model, the ``one-fluid'' Euler--Maxwell model for electrons, in 2 spatial dimensions, and prove global stability of a constant neutral background. This is joint work with Yu Deng and Benoit Pausader.