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- 2016
一个半导体简化能量输运模型稳态解的唯一性
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Abstract:
摘要: 在一维有界区域上研究一个半导体简化能量输运稳态模型,在某些条件下利用一些不等式技巧证明了该模型解的唯一性。
Abstract: A stationary simplified energy-transport model for semiconductors is studied in a one-dimensional bounded domain. The uniqueness of solutions to the model is proved under some conditions by using some inequality techniques
[1] | JUNGEL A, PINNAU R, ROHRIG E. Existence analysis for a simplified energy-transport model for semiconductors[J]. Mathematical Methods in the Applied Sciences, 2013, 36(13):1701-1712. |
[2] | 董建伟,程少华,王艳萍. 一维稳态量子能量输运模型的古典解 [J]. 山东大学学报(理学版),2015,50(3):52-56. DONG Jianwei, CHENG Shaohua, WANG Yanping. Classical solutions to stationary one-dimensional quantum energy-transport model [J]. Journal of Shandong University(Natural Science), 2015, 50(3):52-56. |
[3] | JUNGEL A, MILISIC J P. A simplified quantum energy-transport model for semiconductors [J].Nonlinear Analysis: Real World Applications, 2011, 12(2):1033-1046. |
[4] | CHEN Li, CHEN Xiuqing, JUNGEL A. Semiclassical limit in a simplified quantum energy-transport model for semiconductors[J]. Kinetic and Related Models, 2011, 4(4): 1049-1062. |
[5] | DONG Jianwei, ZHANG Youlin, CHENG Shaohua. Existence of classical solutions to a stationary simplified quantum energy-transport model in 1-dimensional space[J]. Chinese Annals of Mathematics, Series B, 2013, 34(5):691-696. |
[6] | 董建伟,琚强昌. 一个一维半导体简化能量输运模型的稳态解 [J]. 数学年刊(A辑),2014,35(5):613-622. DONG Jianwei, JU Qiangchang. A Stationary solution to a 1-dimensional simplified energy-transport model for semiconductors [J]. Chinese Annals of Mathematics(Series A), 2014, 35(5):613-622. |
[7] | LI Yong. Global existence and asymptotic behavior for an 1-dimensional compressible energy transport model [J]. Acta Mathematica Sientia, 2009, 29B(5):1295-1308. |
[8] | JUNGEL A. Energy transport in semiconductor devices[J]. Mathematical and Computer Modelling Dynamical Systems, 2010, 16(1): 1-22. |
[9] | JUNGEL A, PINNAU R, ROHRIG E. Analysis of a bipolar energy-transport model for a metal-oxide-semiconductor diode[J]. Journal of Mathematical Analysis and Applications, 2011, 378(2):764-774. |
[10] | JUNGEL A, KRISTOFEL P. Lyapunove functionals, weak sequential stability, and uniqueness analysis for energy-transport systems[J]. Annali dell University di Ferrara, 2012, 58(1):89-100. |
[11] | ZAMPONI N, JUNGEL A. Global existence analysis of degenerate energy-transport models for semiconductors [J]. Journal of Differential Equations, 2015, 258(7):2339-2363. |