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Asymptotic behavior of the shock solution for a class of nonlinear equations
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
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)
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
基金项目:SupportedbytheNationalNaturalScienceFoundationofChina(GrantNo .90 2 110 0 4)andthe“HundredTalentsProject”ofChineseAcademyofSciences
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…


Asymptotic behavior of the shock solution for a class of nonlinear equations
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
Authors:MO Jiaqi  ZHU Jiang  WANG Hui
Abstract:The high precision approximation of the shock solution for a class of nonlinear problems is obtained using a simple method.
Keywords:nonlinear equation   shock   boundary layer.
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