The compressible Euler and acoustic limits from quantum Boltzmann equation with Fermi-Dirac statistics

DOI10.1007/s00220-023-04883-7arXiv2111.07784OpenAlexW4391350334MaRDI QIDQ6188107

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Publication date: 1 February 2024

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

Full work available at URL: https://arxiv.org/abs/2111.07784

zbMATH Keywords

Boltzmann-Fermi-Dirac equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Hydro- and aero-acoustics (76Q05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Boltzmann equations (35Q20)

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