| Abstract: |
| This talk is devoted to the numerical approximation of the bitemperature Euler system that has been derived from an underlying kinetic model by performing an hydrodynamic limit. This fluid model describes a plasma in an out of equilibrium situation. This system enters into the framework of the non conservative hyperbolic systems, whose theory is up to now not well understood. In the situation of shocks the numerical solutions of such systems show plateaux depending on the viscosity of the schemes. In the present work, we propose a discretisation of the kinetic model which is conservative in order to select the non regular solutions of the system. |
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