Publications in Scientific Journals:
A. Jüngel:
"Dissipative quantum fluid models";
Rivista di Matematica della Universita' degli studi di Parma,
3
(2012),
217
- 290.
English abstract:
Some macroscopic models for diffusive quantum systems
are reviewed. The model equations are derived fromWigner-Boltzmann
equations by a moment method. Depending on the properties of the
collision operator and the scaling of the Wigner equation, three model
classes are presented: the quantum drift-diffusion equations, inviscid
and viscous quantum hydrodynamic equations, and quantum Navier-
Stokes equations. For each of these models, the derivation is sketched
and analytical results are reviewed.
German abstract:
Siehe englisches Abstract.
Keywords:
Semiconductors; Schroedinger equation; Wigner equation
Created from the Publication Database of the Vienna University of Technology.