ON THE EXISTENCE AND UNIQUENESS OF TRANSIENT SOLUTIONS OF A DEGENERATE NONLINEAR DRIFT-DIFFUSION MODEL FOR SEMICONDUCTORS-Reference-Cited by-同舟云学术

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

Published:1994-10 Issue:05 Volume:04 Page:677-703
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

JÜNGEL ANSGAR¹

Affiliation:

1. Fachbereich Mathematik, Technische Universität Berlin, Straβe des 17. Juni 136, D — 10623 Berlin, Germany

Abstract

We analyze the degenerate transient multi-dimensional quasi-hydrodynamic model for semiconductors with general recombination rate. We present existence results for general nonlinear diffusivities for the nondegenerate and the degenerate Dirichlet-Neumann mixed boundary value problem. Uniqueness of solutions of the nondegenerate system can be proved in the Dirichlet boundary case. Concerning the degenerate problem uniqueness can only be shown under some conditions on the initial and boundary data or on the electric field.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202594000388

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