Macroscopic approximation of a Fermi-Dirac statistics: Unbounded velocity space setting
DOI10.1016/j.matpur.2021.08.005zbMath1483.35264OpenAlexW3193722846MaRDI QIDQ2065082
Mohamed Lazhar Tayeb, Nader Masmoudi
Publication date: 7 January 2022
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2021.08.005
hydrodynamic limitsemiconductorsFermi-Dirac statisticsquantum effectsBoltzmann-Poissonentropy-dissipation
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20) Fermionic systems in quantum theory (81V74) PDEs in connection with semiconductor devices (35Q81)
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