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.

引用

页码：416 / 437

页数：21

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