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On kinetic equations describing tokamak plasmas

Presented by: 
A Nouri Université de Provence Aix Marseille 1
Date: 
Tuesday 2nd November 2010 - 14:00 to 14:45
Venue: 
INI Seminar Room 1
Seminar Series: 
Abstract: 
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.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons