| 半导体磁流体动力学模型经典解的整体适定性 |
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| 引用本文： | 董朝霞,徐江. 半导体磁流体动力学模型经典解的整体适定性[J]. 数学年刊A辑(中文版), 2011, 32(6): 653-664 |
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| 作者姓名： | 董朝霞 徐江 |
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| 作者单位： | 南京航空航天大学数学系; |
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| 基金项目： | 国家自然科学基金(No11001127); 中国博士后科学基金(No20110490134); 南京航空航天大学专项科研基金(NoNS2010204)资助的项目 |
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| 摘 要： | 研究一类半导体磁流体动力学模型,它是由关于电子的质量和速度的守恒律方程耦合Maxwell方程构成的流体动力学方程组.在小初值条件下,运用经典的双曲能量方法,得到了磁流体动力学模型Cauchy问题经典解的整体适定性.
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| 关 键 词： | 磁流体动力学模型 能量估计 经典解 |
Global Well-Posedness of Classical Solutions to the Magnetic-Hydrodynamic Model of Semiconductors |
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| DONG Zhaoxia and XU Jiang. Global Well-Posedness of Classical Solutions to the Magnetic-Hydrodynamic Model of Semiconductors[J]. Chinese Annals of Mathematics, 2011, 32(6): 653-664 |
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| Authors: | DONG Zhaoxia and XU Jiang |
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| Affiliation: | DONG Zhaoxia~1 XU Jiang~1 1 Department of Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China. |
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| Abstract: | This paper concerns with the magnetic-hydrodynamic model of semiconductors, which takes the form of conservation law equations for density and velocity,coupled with Maxwell's equations.Using the classical hyperbolic energy method,the authors establish the global well-posedness of classical solutions to the Caucliy problem of magnetic-hydrodynamic models with small initial data. |
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| Keywords: | Magnetic-hydrodynamic models Energy estimates Classical solutions |
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