# Linearized Boltzmann Collision Operator: II. Polyatomic Molecules Modeled by a Continuous Internal Energy Variable

@inproceedings{Bernhoff2022LinearizedBC, title={Linearized Boltzmann Collision Operator: II. Polyatomic Molecules Modeled by a Continuous Internal Energy Variable}, author={Niclas Bernhoff}, year={2022} }

: The linearized collision operator of the Boltzmann equation can in a natural way be written as a sum of a positive multiplication operator, the collision frequency, and an integral operator. Compactness of the integral operator for monatomic single species is a classical result, while corresponding results for mixtures and polyatomic single species where the polyatomicity is modeled by a discrete internal energy variable, are more recently obtained. In this work the compactness of the…

## 3 Citations

### Linearized Boltzmann Collision Operator: I. Polyatomic Molecules Modeled by a Discrete Internal Energy Variable and Multicomponent Mixtures

- Mathematics
- 2022

Abstract: The linearized collision operator of the Boltzmann equation can in a natural way be written as a sum of a positive multiplication operator, the collision frequency, and an integral…

### Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions

- MathematicsJournal of Mathematical Analysis and Applications
- 2022

### Global bounded solutions to the Boltzmann equation for a polyatomic gas

- Mathematics
- 2022

. In this paper we consider the Boltzmann equation modelling the motion of a poly- atomic gas where the integration collision operator in comparison with the classical one involves an additional…

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