Weak solutions to the stationary quantum drift-diffusion model |
| |
| Authors: | Qiang Chen Ping Guan |
| |
| Affiliation: | a Department of Mathematics, Southeast University, Nanjing 210096, China
b Yancheng Institute of Technology, Yancheng 224003, China |
| |
| Abstract: | The existence of weak solutions to the stationary quantum drift-diffusion equations for semiconductor devices is investigated. The proof is based on minimization procedure of non-linear functional and Schauder fixed-point theorem. Furthermore, the semiclassical limit ε→0 from the quantum drift-diffusion model to the classical drift-diffusion model is discussed. |
| |
| Keywords: | Quantum drift-diffusion model Stationary solutions A priori estimates Fixed-point theorem Semiclassical limit |
| 本文献已被 ScienceDirect 等数据库收录！ |
