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…
4 Citations
Linearized Boltzmann Collision Operator: I. Polyatomic Molecules Modeled by a Discrete Internal Energy Variable and Multicomponent Mixtures
- Mathematics, PhysicsActa Applicandae Mathematicae
- 2022
The linearized Boltzmann collision operator appears in many important applications of the Boltzmann equation. Therefore, knowing its main properties is of great interest. This work extends some…
Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions
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Compactness property of the linearized Boltzmann collision operator for a multicomponent polyatomic gas
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Global bounded solutions to the Boltzmann equation for a polyatomic gas
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. 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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