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

DOI10.1016/j.jmaa.2022.126579zbMath1497.76076arXiv2204.10551OpenAlexW4286727897MaRDI QIDQ2674316

Thomas Borsoni, Laurent Boudin, Francesco Salvarani

Publication date: 23 September 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.10551

zbMATH Keywords

compactnesskinetic equationinternal energylinearized operatorGrad change of variablesresonant collision

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Boltzmann equations (35Q20)

Related Items (5)

Linearized Boltzmann collision operator. II: Polyatomic molecules modeled by a continuous internal energy variable ⋮ Compactness property of the linearized Boltzmann collision operator for a mixture of monatomic and polyatomic species ⋮ The Cauchy problem for Boltzmann bi-linear systems: the mixing of monatomic and polyatomic gases ⋮ Integrability Propagation for a Boltzmann System Describing Polyatomic Gas Mixtures ⋮ Linearized Boltzmann collision operator. I: Polyatomic molecules modeled by a discrete internal energy variable and multicomponent mixtures

Cites Work

• Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff
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• New models for the differential cross-section of a polyatomic gas in the frame of the scattering kernel theory
• A general framework for the kinetic modelling of polyatomic gases
• On existence and uniqueness to homogeneous Boltzmann flows of monatomic gas mixtures
• Applications of a new model for the differential cross-section of a classical polyatomic gas
• Compactness of Linearized Kinetic Operators
• Asymptotic Theory of the Boltzmann Equation
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