Euler and Navier{endash}Stokes limits of the Uehling{endash}Uhlenbeck quantum kinetic equations

Journal Article · Tue Jul 01 00:00:00 EDT 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.531869· OSTI ID:530079

Arlotti, L ^[1]; Lachowicz, M ^[2]

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1. Department of Civil Engineering, University of Udine (Italy)
2. Department of Mathematics, Warsaw University (Poland)

The Uehling{endash}Uhlenbeck evolution equations for gases of identical quantum particles either fermions or bosons, in the case in which the collision kernel does not depend on the distribution function, are considered. The existence of solutions and their asymptotic relations with solutions of the hydrodynamic equations both at the level of the Euler system and at the level of the Navier{endash}Stokes system are proved. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 530079
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 7 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOLTZMANN EQUATION
BOSONS
DISTRIBUTION FUNCTIONS
FERMIONS
KERNELS
KINETIC EQUATIONS
NAVIER-STOKES EQUATIONS
QUANTUM MECHANICS