On the hydrodynamic limit for quantum kinetic equations. (English. Abridged French version) Zbl 0856.76071
Summary: The evolution equations for gases of quantum particles both for fermions and bosons are considered. The existence of solutions and their asymptotic relations with solutions of the hydrodynamic equations are proven.
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{The last name of the second author was misprinted in the journal}
MSC:
76P05 | Rarefied gas flows, Boltzmann equation in fluid mechanics |
76A99 | Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena |
82C10 | Quantum dynamics and nonequilibrium statistical mechanics (general) |
81V55 | Molecular physics |