Speaker
Dr
Marwa Shahine
(IMB)
Description
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.
