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.

Semiconductors; Schroedinger equation; Wigner equation

Created from the Publication Database of the Vienna University of Technology.