The Fast Limit Model Associated With The Euler-Maxwell-Two-Fluid System

The filtering method applied at the level of the Euler-Maxwell-Two-Fluid system produces a Fast Limit Model (FLM) which captures up to the electron depth essential features of plasma dynamics. In the case of prepared data, the discussion reduces to the eXtended MagnetoHydroDynamic (XMHD) framework of physicists, which involves the density , the velocity u and the magnetic field B as state variables. By contrast, for unprepared data, an electric field E is created by resonances, and it participates to the time evolution. It turns out that FLM is a well-posed system on (, u, E, B), extending XMHD, and implying a mechanism of interactions between (, u, B) and E which can convert a part of the energy carried by (, u, B) into electric energy.