| 一维半导体流体动力学模型的局部有界解 |
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| 引用本文： | 高永东. 一维半导体流体动力学模型的局部有界解[J]. 数学杂志, 2001, 21(3): 266-270 |
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| 作者姓名： | 高永东 |
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| 作者单位： | 咸宁师范高等专科学校数学系,咸宁,437005 |
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| 摘 要： | 本文讨论了能量方程是压力一密度关系的一维半导体流体动力学模型方程，通过把欧拉－泊松方程变成拟线性波动方程，利用拟线性波动方程的局部解存在性，得到一维半导体流体动力学模型的局部解，并且解是有界的。
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| 关 键 词： | 流体动力学模型 欧拉－泊松方程 拉格郎日坐标 拟线性波动方程 能量方程 半导体 局部件 压力－密度关系 |
LOCAL BOUNDED SOLUTION FOR A ONE-DIMENSIONAL HYDRODYNAMIC MODEL FOR SEMICONDUCTORS |
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| Received date: -- GAO Yong-dong. LOCAL BOUNDED SOLUTION FOR A ONE-DIMENSIONAL HYDRODYNAMIC MODEL FOR SEMICONDUCTORS[J]. Journal of Mathematics, 2001, 21(3): 266-270 |
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| Authors: | Received date: -- GAO Yong-dong |
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| Affiliation: | Received date: 2000-11-30 GAO Yong-dong |
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| Abstract: | A hydrodynamic model for semiconductor devices, where the energy equation is replaced by a pressure-density relationship, is studied. The system of Euler-Poisson equation is changed to a quasilinear wave equation in Lagrangian mass coordinates. The local existence of a smooth solution of the Euler-Poisson equation is then obtained by using a known result for the quasilinear wave equation, in particular, the local solution is bounded. |
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| Keywords: | hydrodynamic model Euler-Poisson equation Lagrangian mass coordinates |
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