Linearized Boltzmann collision operator. I: Polyatomic molecules modeled by a discrete internal energy variable and multicomponent mixtures

DOI10.1007/s10440-022-00550-6OpenAlexW4313421415MaRDI QIDQ2697590

Niclas Bernhoff

Publication date: 12 April 2023

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.01365

zbMATH Keywords

polyatomic gasesBoltzmann equationlinearized collision operatorHilbert-Schmidt integral operator

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Integral operators (47G10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) PDEs in connection with mechanics of particles and systems of particles (35Q70) Boltzmann equations (35Q20)

Related Items

Linearized Boltzmann collision operator. II: Polyatomic molecules modeled by a continuous internal energy variable, Global bounded solutions to the Boltzmann equation for a polyatomic gas, Compactness property of the linearized Boltzmann collision operator for a mixture of monatomic and polyatomic species, Linear half-space problems in kinetic theory: Abstract formulation and regime transitions, The Cauchy problem for Boltzmann bi-linear systems: the mixing of monatomic and polyatomic gases

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