| ASYMPTOTIC BEHAVIOR OF THE DRIFT-DIFFUSION SEMICONDUCTOR EQUATIONS |
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| 作者姓名： | 郭秀兰 李开泰 |
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| 作者单位： | [1]DepartmentofMathematics,LuoyangNormalCollege,Luoyang471022,China [2]FacultyofScience,Xi＇anJiaotongUniversity,Xi＇an710049,China |
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| 摘 要： | This paper is devoted to the long time behavior for the Drift-diffusion semi-conductor equations. It is proved that the dynamical system has a compact, connected and maximal attractor when the mobilities are constants and generation-recombination term is the Auger model; as well as the semigroup S(t) defined by the solutions map is differential. Moreover the upper bound of Hausdorff dimension for the attractor is given.
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| 关 键 词： | 渐进 漂流空间模型 Housdorff元 偏微分方程 电势能 |
ASYMPTOTIC BEHAVIOR OF THE DRIFT-DIFFUSION SEMICONDUCTOR EQUATIONS |
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| Guo Xiulan.ASYMPTOTIC BEHAVIOR OF THE DRIFT-DIFFUSION SEMICONDUCTOR EQUATIONS[J].Acta Mathematica Scientia,2004,24(3):385-394. |
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| Authors: | Guo Xiulan |
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| Institution: | Guo Xiulan Department of Mathematics,Luoyang Normal College,Luoyang 471022,China
Li Kaitai Faculty of Science,Xi'an Jiaotong University,Xi'an 710049,China |
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| Abstract: | This paper is devoted to the long time behavior for the Drift-diffusion semiconductor equations. It is proved that the dynamical system has a compact, connected and maximal attractor when the mobilities are constants and generation-recombination term is the Auger model; as well as the semigroup S(t) defined by the solutions map is differential. Moreover the upper bound of Hausdorff dimension for the attractor is given. |
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| Keywords: | Drift-diffusion model auger term attractor Housdorff dimensions |
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