一维双极量子能量输运稳态模型弱解的唯一性  

Uniqueness of Weak Solutions of a Stationary 1-Dimensional Bipolar Quantum Energy-Transport Model

作　　者：董建伟 朱军辉 娄光谱 杨永 DONG Jianwei ZHU Junhui LOU Guangpu YANG Yong(School of Mathematics and Physics, Zhengzhou University of Aeronautics, Zhengzhou 450015, China)

机构地区：[1]郑州航空工业管理学院理学院,郑州450015

出　　处：《吉林大学学报（理学版）》2017年第5期1061-1066,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11501525);河南省科技厅基础与前沿技术研究计划项目(批准号:162300410077);河南省高等学校青年骨干教师资助计划项目(批准号:2013GGJS-142);郑州航空工业管理学院青年科研基金(批准号:2014113002;2015113001)

摘　　要：利用一些不等式技巧,在一维有界区域上证明一个半导体双极量子能量输运稳态模型弱解的唯一性.即当晶格温度较大,且Planck常数、电子电流密度和空穴电流密度较小时,该模型的弱解是唯一的.结果表明,该器件模型的解是适定的.We proved the uniqueness of weak solutions of a stationary bipolar quantum energytransport model for semiconductors in one-dimensional bounded domain by using some inequality techniques.In other words,when the lattice temperature was large and the Planck constant,the electron current density and the hole current density were all small,the weak solution of the model was unique.This result shows that the solution of the device model is well posed.

关 键 词：双极量子能量输运模型 稳态解 唯一性 

分 类 号：O175.29[理学—数学]