摘要
The multi-dimensional quantum hydrodynamic equations for charge transport in ultra-small electronic devices like semiconductors, where quantum effects （like particle tunnelling through potential barriers and built-up in quantum wells） take place, is considered in the present paper, and the recent progress on well-posedness, stability analysis, and small scaling limits are reviewed.
The multi-dimensional quantum hydrodynamic equations for charge transport in ultra-small electronic devices like semiconductors, where quantum effects （like particle tunnelling through potential barriers and built-up in quantum wells） take place, is considered in the present paper, and the recent progress on well-posedness, stability analysis, and small scaling limits are reviewed.
基金
L.H. is supported in part by the NSFC (10431060)
H.L. is supported partially by the NSFC (10431060, 10871134)
the Beijing Nova program (2005B48)
the NCET support of the Ministry of Education of China, and the Huo Ying Dong Foundation (111033)
