Closure conditions for classical and quantum moment hierarchies in the small-temperature limit. (English) Zbl 0871.76078

Summary: We analyze closure conditions in the small initial temperature limit for classical and quantum mechanical moment hierarchies of corresponding collisionless kinetic equations. Euler equations with a nondiagonal pressure tensor are obtained in the classical case. In the quantum case we consider the cases of fixed and small (scaled) Planck constant and derive quantum hydrodynamic equations.


76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
76A02 Foundations of fluid mechanics
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