| 双极完全可压缩Navier-Stokes-Maxwell方程组整体光滑解的渐近行为 |
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| 引用本文： | 冯跃红,王术.双极完全可压缩Navier-Stokes-Maxwell方程组整体光滑解的渐近行为[J].北京工业大学学报,2014,40(5):788-795. |
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| 作者姓名： | 冯跃红 王术 |
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| 作者单位： | 北京工业大学应用数理学院,北京,100124;北京工业大学应用数理学院,北京,100124 |
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| 基金项目： | 国家自然科学基金资助项目，北京市自然科学基金资助项目，河南省青年骨干教师资助项目 |
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| 摘 要： | 考虑等离子体物理中的双极完全可压缩Navier-Stokes-Maxwell方程组,借助经典的能量方法和对称子技巧,研究了三维全空间中的Cauchy问题.在初值为一个小摄动的条件下,证明了当时间趋于无穷大时,该问题的整体光滑解收敛到平衡态.
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| 关 键 词： | 双极完全可压缩Navier-Stokes-Maxwell方程组 等离子物理 整体光滑解 大时间行为 |
Asymptotic Behavior of Global Smooth Solutions of Bipolar Full Compressible Navier-Stokes-Maxwell Equations |
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| FENG Yue-hong,WANG Shu.Asymptotic Behavior of Global Smooth Solutions of Bipolar Full Compressible Navier-Stokes-Maxwell Equations[J].Journal of Beijing Polytechnic University,2014,40(5):788-795. |
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| Authors: | FENG Yue-hong WANG Shu |
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| Affiliation: | FENG Yue-hong;WANG Shu;College of Applied Sciences,Beijing University of Technology; |
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| Abstract: | This work was concerned with the bipolar full compressible Navier-Stokes-Maxwell equations for plasmas. By means of the techniques of symmetrizer and energy method,the Cauchy problem was investigated in the whole space. Under the assumption that the initial data were close to a steady state solution,it was proved that the smooth solutions of this problem converge to a steady state as the time goes to infinity. |
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| Keywords: | bipolar full compressible Navier-Stokes-Maxwell equations plasma physics global smooth solutions large time behavior |
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