Semiclassical and relaxation limits of bipolar quantum hydrodynamic model

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The global in-time semiclassical and relaxation limits of the bipolar quantum hydrodynamic model for semiconductors are investigated in $R^3$. We prove that the unique strong solution converges globally in time to the strong solution of classical bipolar hydrodynamical equation in the process of semiclassical limit and to that of the classical Drift-Diffusion system under the combined relaxation and semiclassical limits.
21 pages

Keywords

Mathematical Physics, Analysis of PDEs

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/174902

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.3791
 http://arxiv.org/abs/0811.3791
 J. Differential Equations 245 (2008),no. 6, 1433--1453
 doi:10.1016/j.jde.2008.06.019

Collections

arXiv