The existence and long-time behavior of weak solution to bipolar quantum drift-diffusion model

X Chen, L Chen, H Jian - Chinese Annals of Mathematics, Series B, 2007 - Springer
The authors study the existence and long-time behavior of weak solutions to the bipolar
transient quantum drift-diffusion model, a fourth order parabolic system. Using semi …

Quantum semiconductor models

L Chen, M Dreher - Partial differential equations and spectral theory, 2011 - Springer
We give an overview of analytic investigations of quantum semiconductor models, where we
focus our attention on two classes of models: quantum drift diffusion models, and quantum …

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

X Chen - Zeitschrift für angewandte Mathematik und Physik, 2009 - Springer
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 …

Initial time layer problem for quantum drift-diffusion model

X Chen, L Chen - Journal of mathematical analysis and applications, 2008 - Elsevier
Initial time layer problem for quantum drift-diffusion model Page 1 J. Math. Anal. Appl. 343 (2008)
64–80 www.elsevier.com/locate/jmaa Initial time layer problem for quantum drift-diffusion …

The bipolar quantum drift-diffusion model

XQ Chen, L Chen - Acta Mathematica Sinica, English Series, 2009 - Springer
A fourth order parabolic system, the bipolar quantum drift-diffusion model in semiconductor
simulation, with physically motivated Dirichlet-Neumann boundary condition is studied in …

The global existence and semiclassical limit of weak solutions to multidimensional quantum drift-diffusion model

X Chen - Advanced Nonlinear Studies, 2007 - degruyter.com
We establish the global weak solutions to quantum drift-diffusion model, a fourth order
parabolic system, in two or there space dimensions with large initial value and periodic …

[PDF][PDF] Semiclassical limit in a simplified quantum energy-transport model for semiconductors

L Chen, XQ Chen, A Jüngel - Kinetic and Related Models, 2011 - researchgate.net
The semiclassical limit in a quantum energy-transport model for semiconductors is proved.
The system consists of a nonlinear parabolic fourth-order equation for the electron density …

[HTML][HTML] 一维半导体量子能量输运模型稳态解的唯一性

董建伟, 张又林, 程少华 - 数学杂志, 2015 - sxzz.whu.edu.cn
一维半导体量子能量输运模型稳态解的唯一性 数学杂志 2015, Vol. 35 Issue (5): 1245-1251
PDF 扩展功能 加入收藏夹 复制引文信息 加入引用管理器 Email Alert RSS 本文作者相关文章 …

The multidimensional bipolar quantum drift-diffusion model

X Chen, Y Guo - Advanced Nonlinear Studies, 2008 - degruyter.com
We investigate the bipolar quantum drift-diffusion model, a fourth order parabolic system, in
two or there space dimensions. First, we establish the global weak solution with large initial …

Dirichlet-neumann problem for unipolar isentropic quantum drift-diffusion model

L Chen, X Chen - Tsinghua Science and Technology, 2008 - ieeexplore.ieee.org
This paper studies the existence, semiclassical limit, and long-time behavior of weak
solutions to the unipolar isentropic quantum drift-diffusion model, a fourth order parabolic …