# Mathematics Colloquia and Seminars

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.