Description
In this talk I will present the proof of the Fredholm alternative for the linearized Boltzmann operator. The model is describded with a distribution function with an additional continous energy variable. The collision operator is based on the Borgnakke-Larsen procedure. We present the proof in the case of a single gas and of mixtures. The cornerstone of the proof is the introduction of a kernel on the perturbation part in order to prove that the operator is Hilbert Schmidt.
