This research will study nonlinear partial differential equations associated with the semiconductor device system from both an analytical and algorithmic point of view. These equations are of elliptic/hyperbolic or elliptic/parabolic/ hyperbolic subtypes. One part of this research will continue work on a drift-diffusion model and examine issues related to rapidly changing coefficients. A second portion will use the TVD scheme to examine a hydrodynamic model. The models considered in this work should increase understanding of multi-valley semiconductors currently of interest, such as gallium arsenide.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
8721742
Program Officer
Michael H. Steuerwalt
Project Start
Project End
Budget Start
1988-06-01
Budget End
1990-11-30
Support Year
Fiscal Year
1987
Total Cost
$23,172
Indirect Cost
Name
Northwestern University at Chicago
Department
Type
DUNS #
City
Evanston
State
IL
Country
United States
Zip Code
60201