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一类大气等离子体反应扩散模型的解法

石兰芳 欧阳成 陈丽华 莫嘉琪

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一类大气等离子体反应扩散模型的解法

石兰芳, 欧阳成, 陈丽华, 莫嘉琪

Solving method of a class of reactive diffusion model for atmospheric plasmas

Shi Lan-Fang, Ouyang Cheng, Chen Li-Hua, Mo Jia-Qi
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  • 研究了一类大气等离子体反应扩散模型. 利用奇摄动方法得到了问题的渐近解, 并用微分不等式理论证明了解的一致有效性.
    A class of reactive diffusion model for atmospheric plasmas is studied. The asymptotic solution is obtained by using the singular perturbation method, and the validity of the solution is proved.
    • 基金项目: 国家自然科学基金(批准号:40876010)、中国科学院战略性先导科技专项——应对气候变化的碳收支认证及相关问题项目(批准号:XDA01020304)、浙江省自然科学基金项目(批准号:Y6110502)、安徽高校省级自然科学研究项目 (批准号:KJ2011A135)和福建省教育厅基金项目(A类)项目(批准号:JA10288)资助 的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 40876010), the “Strategic Priority Research Program-Climate Change: Carbon Budget and Relevant Issues” of the Chinese Academy of Sciences (Grant No. XDA01020304), the Natural Science Foundation of Zhejiang Province, China (Grant No. Y6110502), the Natural Science Foundation from the Education Bureau of Anhui Province, China (Grant No. KJ2011A135) and the Foundation of the Education Department of Fujian Province, China (Grant No. JA10288).
    [1]

    Liang Z W, Sun H L, Wang Z J, Xu J, Xu Y M 2008 Acta Phys. Sin. 57 4292 (in Chinese) [梁志伟, 孙海龙, 王之江, 徐 杰, 徐跃民 2008 物理学报 57 4292]

    [2]

    Jang Z H, Hu X W, Liu M H, Gu C L, Pan Y 2003 Chin. Phys. Lett. 20 885

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    Ouyang J M, Guo W, Wang L, Shao F Q 2004 Chin. Phys. 13 2174

    [4]

    Fang T Z, Ouyang J M, Wang L 2005 Chin. Phys. Lett. 22 2888

    [5]

    Ouyang J M, Shao F Q, Wang L, Fang T Z, Liu J Q 2006 Acta Phys. Sin. 55 4974 (in Chinese) [欧阳建明, 邵福球, 王龙, 房同珍, 刘建全 2006 物理学报 55 4974]

    [6]

    Yin Z Q, Zhao P P, Dong L F, Fang T Z 2011 Acta Phys. Sin. 60 025206 (in Chinese) [尹增谦, 赵盼盼, 董丽芳, 房同珍 2011 物理学报 60 025206]

    [7]

    de Jager E M, Jiang F R 1996 The Theory of Singular Perturbation (Amsterdam: North- Holland Publishing)

    [8]

    Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauserm Verlag AG)

    [9]

    Mo J Q 2009 Chin. Phys. Lett. 26 010204

    [10]

    Mo J Q 2009 Chin. Phys. Lett. 26 060202

    [11]

    Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 物理学报 58 2930]

    [12]

    Mo J Q 2009 Science in China Ser. G 39 568

    [13]

    Mo J Q, Lin Y H, Lin W T 2009 Acta Phys. Sin. 58 6692 (in Chinese) [莫嘉琪, 林一骅, 林万涛 2009 物理学报 58 6692]

    [14]

    Mo J Q, Lin Y H, Lin W T 2010 Acta Phys. Sin. 59 6701 (in Chinese) [莫嘉琪, 林一骅, 林万涛 2010 物理学报 59 6701]

    [15]

    Mo J Q 2010 Commun. Theor. Phys. 53 440

    [16]

    Mo J Q 2010 Chin. Phys. B 19 010203

    [17]

    Mo J Q, Chen X F 2010 Chin. Phys. B 19 100203

    [18]

    Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202

    [19]

    Mo J Q 2011 Acta Phys. Sin. 60 020202 (in Chinese) [莫嘉琪 2011 物理学报 60 020202]

    [20]

    Mo J Q 2011 Acta Phys. Sin. 60 030203 (in Chinese) [莫嘉琪 2011 物理学报 60 030203]

  • [1]

    Liang Z W, Sun H L, Wang Z J, Xu J, Xu Y M 2008 Acta Phys. Sin. 57 4292 (in Chinese) [梁志伟, 孙海龙, 王之江, 徐 杰, 徐跃民 2008 物理学报 57 4292]

    [2]

    Jang Z H, Hu X W, Liu M H, Gu C L, Pan Y 2003 Chin. Phys. Lett. 20 885

    [3]

    Ouyang J M, Guo W, Wang L, Shao F Q 2004 Chin. Phys. 13 2174

    [4]

    Fang T Z, Ouyang J M, Wang L 2005 Chin. Phys. Lett. 22 2888

    [5]

    Ouyang J M, Shao F Q, Wang L, Fang T Z, Liu J Q 2006 Acta Phys. Sin. 55 4974 (in Chinese) [欧阳建明, 邵福球, 王龙, 房同珍, 刘建全 2006 物理学报 55 4974]

    [6]

    Yin Z Q, Zhao P P, Dong L F, Fang T Z 2011 Acta Phys. Sin. 60 025206 (in Chinese) [尹增谦, 赵盼盼, 董丽芳, 房同珍 2011 物理学报 60 025206]

    [7]

    de Jager E M, Jiang F R 1996 The Theory of Singular Perturbation (Amsterdam: North- Holland Publishing)

    [8]

    Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauserm Verlag AG)

    [9]

    Mo J Q 2009 Chin. Phys. Lett. 26 010204

    [10]

    Mo J Q 2009 Chin. Phys. Lett. 26 060202

    [11]

    Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 物理学报 58 2930]

    [12]

    Mo J Q 2009 Science in China Ser. G 39 568

    [13]

    Mo J Q, Lin Y H, Lin W T 2009 Acta Phys. Sin. 58 6692 (in Chinese) [莫嘉琪, 林一骅, 林万涛 2009 物理学报 58 6692]

    [14]

    Mo J Q, Lin Y H, Lin W T 2010 Acta Phys. Sin. 59 6701 (in Chinese) [莫嘉琪, 林一骅, 林万涛 2010 物理学报 59 6701]

    [15]

    Mo J Q 2010 Commun. Theor. Phys. 53 440

    [16]

    Mo J Q 2010 Chin. Phys. B 19 010203

    [17]

    Mo J Q, Chen X F 2010 Chin. Phys. B 19 100203

    [18]

    Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202

    [19]

    Mo J Q 2011 Acta Phys. Sin. 60 020202 (in Chinese) [莫嘉琪 2011 物理学报 60 020202]

    [20]

    Mo J Q 2011 Acta Phys. Sin. 60 030203 (in Chinese) [莫嘉琪 2011 物理学报 60 030203]

计量
  • 文章访问数:  6154
  • PDF下载量:  497
  • 被引次数: 0
出版历程
  • 收稿日期:  2011-04-14
  • 修回日期:  2011-06-23
  • 刊出日期:  2012-03-05

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