There will be an invited talk.

Title: Fredholm Property of the Linearized Boltzmann Operator for a Mixture of Polyatomic Gases
Speaker: Marwa Shahine (Univ. of Bordeaux)
Time: 2022 November 11th, 15:00 ~ 16:00
Place: 27-325
Abstract:
In this talk, we consider the Boltzmann equation that models a mixture of polyatomic gases assuming the internal energy to be continuous. Under some convenient assumptions on the collision cross-section, we prove that the linearized Boltzmann operator L is a Fredholm operator. For this, we write L as a perturbation of the collision frequency multiplication operator. We prove that the collision frequency is coercive and that the perturbation operator is Hilbert-Schmidt integral operator.