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双极完全可压缩Navier-Stokes-Maxwell方程组整体光滑解的渐近行为 被引量:2

Asymptotic Behavior of Global Smooth Solutions of Bipolar Full Compressible Navier-Stokes-Maxwell Equations
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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. 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.
作者 冯跃红 王术
出处 《北京工业大学学报》 CAS CSCD 北大核心 2014年第5期788-795,共8页 Journal of Beijing University of Technology
基金 国家自然科学基金资助项目(11371042) 北京市自然科学基金资助项目(1132006) 河南省青年骨干教师资助项目(2011GGJS-210)
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 bipolar full compressible Navier-Stokes-Maxwell equations plasma physics global smooth solutions large time behavior
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参考文献4

  • 1Jianwei Yang,Shu Wang,Yong Li,Dang Luo.The diffusive relaxation limit of non-isentropic Euler–Maxwell equations for plasmas[J].Journal of Mathematical Analysis and Applications.2011(1) 被引量:1
  • 2Shu Wang,Yue-Hong Feng,Xin Li.The asymptotic behavior of globally smooth solutions of non-isentropic Euler–Maxwell equations for plasmas[J].Applied Mathematics and Computation.2014 被引量:1
  • 3James Serrin.On the uniqueness of compressible fluid motions[J].Archive for Rational Mechanics and Analysis.1959(1) 被引量:1
  • 4Tosio Kato.The Cauchy problem for quasi-linear symmetric hyperbolic systems[J].Archive for Rational Mechanics and Analysis.1975(3) 被引量:1

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