| Contents |
| We consider the transport of charged particles in a semiconductor.
Starting from a Wigner equation with a collision term of Fokker-Planck
type, a moment method can be employed to derive partial differential
equations for several macroscopic quantities. Assuming that the
density function is near the thermal equilibrium, a closure of the
system becomes possible, and the viscous quantum hydrodynamic model is
obtained. For this model, I present several results on local
correctness, semigroup properties, stability, boundary layers,
numerical simulations.
This is joint work with Li Chen. |
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