吉林大学学报(理学版)2017,Vol.55Issue(5):1061-1066,6.DOI:10.13413/j.cnki.jdxblxb.2017.05.03
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
摘要
Abstract
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Key words
bipolar quantum energy-transport model/stationary solution/uniqueness分类
数理科学引用本文复制引用
董建伟,朱军辉,娄光谱,杨永..一维双极量子能量输运稳态模型弱解的唯一性[J].吉林大学学报(理学版),2017,55(5):1061-1066,6.基金项目
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)和郑州航空工业管理学院青年科研基金(批准号:2014113002 (批准号:11501525)
2015113001). ()