Existence of classical solutions to a stationary simplified quantum energy-transport model in 1-dimensional space

被引：0
作者：
Jianwei Dong
Youlin Zhang
Shaohua Cheng
机构：
[1] Zhengzhou Institute of Aeronautical Industry Management,Department of Mathematics and Physics
[2] Zhengzhou Institute of Aeronautical Industry Management,Library
来源：
Chinese Annals of Mathematics, Series B | 2013年 / 34卷
关键词：
Quantum energy-transport model; Stationary solutions; Existence; 35J40; 35Q40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The existence of classical solutions to a stationary simplified quantum energy-transport model for semiconductor devices in 1-dimensional space is proved. The model consists of a nonlinear elliptic third-order equation for the electron density, including a temperature derivative, an elliptic nonlinear heat equation for the electron temperature, and the Poisson equation for the electric potential. The proof is based on an exponential variable transformation and the Leray-Schauder fixed-point theorem.
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页码：691 / 696
页数：5
相关论文
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  • [3] Gardner C(2006)Derivation of new quantum hydrodynamic equations using entropy minimization SIAM J. Appl. Math. 67 46-68
  • [4] Jüngel A(2011)Semiclassical limit in a simplified quantum energy-transport model for semiconductors Kinetic and Related Models 4 1049-1062
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