|
|||||
|
|
Existence of weak solution and semiclassical limit for quantum drift-diffusion model |
|
| Authors: | Li Chen Qiangchang Ju |
| Institution: | 1.Department of Mathematical Sciences,Tsinghua University,Beijing,People’s Republic of China;2.Fachbereich Mathematik und Informatik,Johannes Gutenberg-Universit?at,Mainz,Germany;3.Dipartimento di Matematica “G. Castelnuovo”,Universitá di Roma “La Sapienza”,Roma,Italy |
| Abstract: | The existence and semiclassical limit of the solution to one-dimensional transient quantum drift-diffusion model in semiconductor simulation are discussed. Besides the proof of existence of the weak solution, it is also obtained that the semiclassical limit of this solution solves the classical drift-diffusion model. The key estimates rest on the entropy inequalities derived from separation of quantum quasi-Fermi level. |
| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 35K35 65M12 65M20 76Y05 |
| 本文献已被 SpringerLink 等数据库收录！ | |