| 粘性半导体偏微分方程的定态解 |
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| 引用本文： | 梁波,顾颖,皇甫明.粘性半导体偏微分方程的定态解[J].大连铁道学院学报,2007(1). |
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| 作者姓名： | 梁波 顾颖 皇甫明 |
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| 作者单位： | 大连交通大学数理系 辽宁大连116028 |
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| 摘 要： | 研究了一维粘性定态量子流体动力学(QHD)模型.利用截断法、Leray-Schauder不动点定理以及椭圆型方程的估计,在“亚音速”条件下,得到了强解的存在唯一性.先验估计依赖构造辅助函数,证明依靠截断技术、Leray-Schauder不动点定理和指数变换.
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| 关 键 词： | 量子流体动力学 存在性 唯一性 |
Steady-State Solutions of Viscous Semiconductor Partial Differential Equations |
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| LIANG Bo,GU Ying,HUANGPU Ming.Steady-State Solutions of Viscous Semiconductor Partial Differential Equations[J].Journal of Dalian Railway Institute,2007(1). |
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| Authors: | LIANG Bo GU Ying HUANGPU Ming |
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| Abstract: | The viscous steady-state quantum hydrodynamic(QHD) model is analyzed.Under the subsonic condition,the existence and uniqueness of strong solutions is obtained by applying a truncation method,Leray-Schauder fixed point theorem and estimates of the elliptic equation.A-prior estimate is based on constructing an auxiliary function,and the proofs rely on the truncation technique,the Leray-Schauder fixed point theorem and an exponential variable transformation. |
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| Keywords: | quantum hydrodynamics existence uniqueness |
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