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| 摘要: |
| 本文研究了一维半导体稳态量子能量输运模型的古典解.利用一些不等式技巧证明了当晶格温度充分大且电流密度较小时其解是唯一的,这在文献[3]中没有得到. |
| 关键词: 量子能量输运模型 稳态解 唯一性 |
| DOI： |
| 分类号:O175.24 |
| 基金项目:河南省教育厅科学技术研究重点项目基金资助(12A110024);2013年郑州航空工业管理学院青年科研基金资助(2013111001);2013年河南省科技厅基础与前沿技术研究计划项目基金资助(132300410373);航空科学基金资助(2013ZD55006);河南省高等学校青年骨干教师资助计划项目基金资助(2013GGJS-142) |
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| UNIQUENESS OF STATIONARY SOLUTIONS TO ONE-DIMENSIONAL QUANTUM ENERGY-TRANSPORT MODEL FOR SEMICONDUCTORS |
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DONG Jian-wei,ZHANG You-lin,CHENG Shao-hua
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| Abstract: |
| In this paper, we study the classical solutions to the stationary quantum energy-transport model for semiconductors in one space dimension. The uniqueness of the solutions is proved when the lattice temperature is sufficiently large and the current density is relatively small by using some inequality techniques, which is not obtained in [3]. |
| Key words: quantum energy-transport model stationary solutions uniqueness |
