The isentropic quantum drift-diffusion model in two or three space dimensions

被引：0
|
作者：
Xiuqing Chen
机构：
[1] Beijing University of Posts and Telecommunications,School of Sciences
来源：
Zeitschrift für angewandte Mathematik und Physik | 2009年 / 60卷
关键词：
Quantum drift-diffusion; fourth order parabolic system; weak solution; semiclassical limit; 35k35; 35J60; 65M12; 65M20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate the isentropic quantum drift-diffusion model, a fourth order parabolic system, in space dimensions d = 2, 3. First, we establish the global weak solutions with large initial value and periodic boundary conditions. Then we show the semiclassical limit by delicate interpolation estimates and compactness argument.
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页码：416 / 437
页数：21
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