Existence of weak solution and semiclassical limit for quantum drift-diffusion model

被引：0
|
作者：
Li Chen
Qiangchang Ju
机构：
[1] Tsinghua University,Department of Mathematical Sciences
[2] Johannes Gutenberg-Universitäat,Fachbereich Mathematik und Informatik
[3] Institute of Applied Physics and Computational Mathematics,Dipartimento di Matematica “G. Castelnuovo”
[4] Universitá di Roma “La Sapienza”,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik | 2007年 / 58卷
关键词：
35K35; 65M12; 65M20; 76Y05; Quantum drift-diffusion; weak solution; semiclassical limit; entropy inequality;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：1 / 15
页数：14
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