ON THE EXISTENCE AND UNIQUENESS OF TRANSIENT SOLUTIONS OF A DEGENERATE NONLINEAR DRIFT-DIFFUSION MODEL FOR SEMICONDUCTORS

Authors
JUNGEL A
Citation
A. Jungel, ON THE EXISTENCE AND UNIQUENESS OF TRANSIENT SOLUTIONS OF A DEGENERATE NONLINEAR DRIFT-DIFFUSION MODEL FOR SEMICONDUCTORS, Mathematical models and methods in applied sciences, 4(5), 1994, pp. 677-703
Citations number
27
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
4
Issue
5
Year of publication
1994
Pages
677 - 703
Database
ISI
SICI code
0218-2025(1994)4:5<677:OTEAUO>2.0.ZU;2-P
Abstract
We analyze the degenerate transient multi-dimensional quasi-hydrodynam ic model for semiconductors with general recombination rate. We presen t existence results for general nonlinear diffusivities for the nondeg enerate and the degenerate Dirichlet-Neumann mixed boundary value prob lem. Uniqueness of solutions of the nondegenerate system can be proved in the Dirichlet boundary case. Concerning the degenerate problem uni queness can only be shown under some conditions on the initial and bou ndary data or on the electric field.