##
Analytical Study of Smooth Solutions of the Blotekjaer
Hydrodynamic Model
of Electron Transport

#### By: Joseph W. Jerome

We study the Blotekjaer hydrodynamic model from the standpoint of local
well-posedness. We employ analytical methods, originally introduced by
T.~Kato for complex systems,
to obtain the existence of unique local smooth solutions of the Cauchy
problem, with smooth initial data. The time interval is invariant with
respect to vanishing heat flux.
The model is self-consistent, and is developed for one-valley
electron carriers only. A symmetrizer is introduced for the system, and
regularization is employed to avoid the formation of singularities due to
vacuum regions.
In the regime studied, it is not possible for shocks to form.

This paper will appear in VLSI DESIGN 15 (2002), 729--742, and
can be viewed in the following format: