The Euler limit for kinetic models with Fermi–Dirac statistics

DOI10.3233/ASY-151323zbMath1333.35153OpenAlexW2177784550MaRDI QIDQ5744768

Timofeĭ Dmitrievich Zakrevskiĭ

Publication date: 19 February 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-151323

zbMATH Keywords

entropyEuler equationsBoltzmann equationkinetic model

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Euler equations (35Q31) Boltzmann equations (35Q20)

Related Items (4)

Quantum BGK Model near a Global Fermi--Dirac Distribution ⋮ The compressible Euler and acoustic limits from quantum Boltzmann equation with Fermi-Dirac statistics ⋮ Stationary quantum BGK model for bosons and fermions in a bounded interval ⋮ The incompressible Navier-Stokes-Fourier limit from Boltzmann-Fermi-Dirac equation

Cites Work

• Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles
• Convex Entropies and Hyperbolicity for General Euler Equations
• Unnamed Item

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