| 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,2011,32(6):653~664 |
| 半导体磁流体动力学模型经典解的整体适定性 |
| Global Well-Posedness of Classical Solutions to the Magnetic-Hydrodynamic Model of Semiconductors |
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| DOI： |
| 中文关键词: 磁流体动力学模型 能量估计 经典解 |
| 英文关键词:Magnetic-hydrodynamic models Energy estimates Classical solutions |
| 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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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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 Cauchy problem of magnetic-hydrodynamic
models with small initial data. |
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