Oct 9 – 11, 2023
LMU Munich
Europe/Paris timezone

Fredholm Property of the Linearized Boltzmann Operator for a Mixture of Polyatomic Gases

Oct 9, 2023, 11:00 AM
B101 (LMU Munich)


LMU Munich

Ludwig-Maximilians-Universität München Mathematisches Institut Theresienstr. 39 80333 München


Dr Marwa Shahine (IMB)


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.

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