Quantum BGK Model near a Global Fermi--Dirac Distribution

DOI10.1137/19M1270021zbMath1434.35030arXiv1809.07790MaRDI QIDQ5110292

Gi-Chan Bae, Seok-Bae Yun

Publication date: 18 May 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07790

zbMATH Keywords

Fermi-Dirac distributionquantum Boltzmann equationnonlinear energy methodquantum BGK model

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Boltzmann equations (35Q20)

Related Items (6)

Global existence and time decay of the relativistic BGK equation in the whole space ⋮ BGK Model for Two-Component Gases Near a Global Maxwellian ⋮ The ES-BGK for the polyatomic molecules with infinite energy ⋮ BGK model of the multi-species Uehling-Uhlenbeck equation ⋮ The relativistic quantum Boltzmann equation near equilibrium ⋮ The Shakhov model near a global Maxwellian

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