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等离子体中双流体模型的调制逼近

刘慧敏 蒲学科

刘慧敏,蒲学科. 等离子体中双流体模型的调制逼近 [J]. 应用数学和力学,2022,43(9):944-954 doi: 10.21656/1000-0887.430007
引用本文: 刘慧敏,蒲学科. 等离子体中双流体模型的调制逼近 [J]. 应用数学和力学,2022,43(9):944-954 doi: 10.21656/1000-0887.430007
LIU Huimin, PU Xueke. Modulation Approximation of a 2-Fluid System in Plasma[J]. Applied Mathematics and Mechanics, 2022, 43(9): 944-954. doi: 10.21656/1000-0887.430007
Citation: LIU Huimin, PU Xueke. Modulation Approximation of a 2-Fluid System in Plasma[J]. Applied Mathematics and Mechanics, 2022, 43(9): 944-954. doi: 10.21656/1000-0887.430007

等离子体中双流体模型的调制逼近

doi: 10.21656/1000-0887.430007
基金项目: 国家自然科学基金(12001338;11871172);广东省自然科学基金(2019A1515012000);山西省高等学校科技创新项目(2020L0256)
详细信息
    作者简介:

    刘慧敏(1989―),女,博士(E-mail:hmliucqu@163.com

    蒲学科(1981―),男,教授,博士生导师(通讯作者. E-mail:puxueke@gmail.com

  • 中图分类号: O175.2

Modulation Approximation of a 2-Fluid System in Plasma

  • 摘要:

    等离子体中的双流体模型描述了丰富的等离子体动力学行为,包括离子声波和等离子体波之间的相互作用。为了描述该双流体模型小振荡波包解包络的演化,利用多尺度分析方法将非线性Schrödinger (NLS)方程作为形式逼近方程导出,并通过对该双流体模型的真实解和逼近解之间的误差,在Sobolev空间中进行了一致能量估计,最终在时间尺度

    \begin{document}$ {\cal{O}}(\epsilon^{-2})$\end{document}

    上严格证明了NLS逼近的有效性。

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出版历程
  • 收稿日期:  2022-01-11
  • 修回日期:  2022-02-12
  • 网络出版日期:  2022-07-12
  • 刊出日期:  2022-09-30

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