On semi-classical limit of spatially homogeneous quantum Boltzmann equation: weak convergence

DOI10.1007/s00220-021-04029-7zbMath1469.82028arXiv2010.01529OpenAlexW3090160873MaRDI QIDQ2042360

Ling-Bing He, Mario Pulvirenti, Xuguang Lu

Publication date: 29 July 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.01529

zbMATH Keywords

quantum Boltzmann equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Statistical mechanics of gases (82D05) Integro-partial differential equations (35R09) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84)

Related Items (4)

The compressible Euler and acoustic limits from quantum Boltzmann equation with Fermi-Dirac statistics ⋮ Approach to equilibrium in translation-invariant quantum systems: some structural results ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ Global existence and stability of solutions of spatially homogeneous Boltzmann equation for Fermi-Dirac particles

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