Euler and Navier–Stokes limits of the Uehling–Uhlenbeck quantum kinetic equations

DOI10.1063/1.531869zbMath0885.35102OpenAlexW2007931725MaRDI QIDQ4352177

Mirosław Lachowicz, Luisa Arlotti

Publication date: 28 August 1997

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

Full work available at URL: https://doi.org/10.1063/1.531869

zbMATH Keywords

existencehydrodynamic equationsNavier-Stokes systemEuler systemfermionsbosonsUehling-Uhlenbeck equations

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) PDEs in connection with quantum mechanics (35Q40) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (4)

An efficient direct solver for rarefied gas flows with arbitrary statistics ⋮ Quantum hydrodynamic approximations to the finite temperature trapped Bose gases ⋮ Asymptotic-preserving exponential methods for the quantum Boltzmann equation with high-order accuracy ⋮ An asymptotic-preserving scheme for the semiconductor Boltzmann equation with two-scale collisions: a splitting approach

Cites Work

• On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation
• On the asymptotic behaviour of solutions of nonlinear kinetic equations
• Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles
• Incompressible navier-stokes and euler limits of the boltzmann equation
• Exact and chapman‐enskog solutions for the carleman model
• On the initial layer and the existence theorem for the nonlinear Boltzmann equation
• Asymptotic expansions of solutions for the Boltzmann equation
• The fluid dynamic limit of the nonlinear boltzmann equation
• Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
• Transport Phenomena in Einstein-Bose and Fermi-Dirac Gases. I

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