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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.

MSC:

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