On kinetic equations describing tokamak plasmas
Seminar Room 1, Newton Institute
In the core of a tokamak, the evolution of the ions distribution function can be described by a kinetic transport equation whereas the electrons are assumed to be at thermodynamic equlibrium and the electrical potential is givne by the electro-neutrality equation. Moreover, gyroaverages are performed in the directions perpendicular to the magnetic field. This induces different properties of the ion distribution function in the directions parallel and perpendicular to the magnetic field. In this talk we will stress them when deriving existence and uniqueness of stationary solutions, as well as well-posedness of a diffusive gyrokinetic model.