The semiclassical limit in the quantum drift-diffusion equations with isentropic pressure

被引：0
|
作者：
Li Chen
Qiangchang Ju
机构：
[1] Tsinghua University,Department of Mathematical Sciences
[2] Institute of Applied Physics and Computational Mathematics,undefined
来源：
Chinese Annals of Mathematics, Series B | 2008年 / 29卷
关键词：
Quantum drift-diffusion; Weak solution; Semiclassical limit; Isentropic; 35K35; 65M12; 65M20; 76Y05;
D O I：
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学科分类号：
摘要：
The semiclassical limit in the transient quantum drift-diffusion equations with isentropic pressure in one space dimension is rigorously proved. The equations are supplemented with homogeneous Neumann boundary conditions. It is shown that the semiclassical limit of this solution solves the classical drift-diffusion model. In the meanwhile, the global existence of weak solutions is proved.
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页码：369 / 384
页数：15
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