| Asymptotic behavior of the shock solution for a class of nonlinear equations |
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| 引用本文： | MO Jiaqi 1*,ZHU Jiang 2 and WANG Hui 3(1. Department of Mathemtics,Anhui Normal University,Wuhu 241000,China, 2. ICEES,Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029,China, 3. National Natural Science Foundation of China,Beijing 100085,China). Asymptotic behavior of the shock solution for a class of nonlinear equations[J]. 自然科学进展(英文版), 2003, 13(10). DOI: 10.1080/10020070312331344400 |
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| 作者姓名： | MO Jiaqi 1* ZHU Jiang 2 and WANG Hui 3(1. Department of Mathemtics Anhui Normal University Wuhu 241000 China 2. ICEES Institute of Atmospheric Physics Chinese Academy of Sciences Beijing 100029 China 3. National Natural Science Foundation of China Beijing 100085 China) |
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| 作者单位： | 1. Department of Mathemtics，Anhui Normal University，Wuhu 241000，China; 2. ICEES，Institute of Atmospheric Physics，Chinese Academy of Sciences，Beijing 100029，China; 3. National Natural Science Foundation of China，Beijing 100085，China |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina(GrantNo .90 2 110 0 4)andthe“HundredTalentsProject”ofChineseAcademyofSciences |
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| 摘 要： | Recently thenonlinearsingularly perturbedproblemhasbeeninvestigatedintheinternationala cademiccircles[1] .Approximationmethodshavebeendevelopedandrefined ,includingthemethodofaver aging ,boundarylayermethod ,matchedasymptoticexpansion ,andmultiplescales .ManyscholarssuchasO’MalleyJr .[2 ] ,Boh啨[3] ,Butuzovetal.[4 ] ,Kel ley[5] ,andMizoguchietal.[6 ] havedoneagreatdealofwork .UsingthemethodofdifferentialinequalityandothersMoconsideredalsoaclassofsingularlyperturbednonlinearboundaryvaluepro…
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Asymptotic behavior of the shock solution for a class of nonlinear equations |
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| MO Jiaqi,ZHU Jiang,WANG Hui. Asymptotic behavior of the shock solution for a class of nonlinear equations[J]. Progress in Natural Science, 2003, 13(10). DOI: 10.1080/10020070312331344400 |
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| Authors: | MO Jiaqi ZHU Jiang WANG Hui |
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| Abstract: | The high precision approximation of the shock solution for a class of nonlinear problems is obtained using a simple method. |
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| Keywords: | nonlinear equation shock boundary layer. |
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