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Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/29676
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dc.contributor.advisor李明融zh_TW
dc.contributor.author陳品均zh_TW
dc.creator陳品均zh_TW
dc.date2008en_US
dc.date.accessioned2009-09-11T08:02:00Z-
dc.date.available2009-09-11T08:02:00Z-
dc.date.issued2009-09-11T08:02:00Z-
dc.identifierG0095751001en_US
dc.identifier.urihttps://nccur.lib.nccu.edu.tw/handle/140.119/29676-
dc.description碩士zh_TW
dc.description國立政治大學zh_TW
dc.description應用數學研究所zh_TW
dc.description95751001zh_TW
dc.description97zh_TW
dc.description.abstract在這篇文章中，我們討論守恆方程∂_{t}u+∂_{x}f(u)=0解的存在性。我們藉由觀察物理現象和實驗結果討論這樣的問題。我們利用特徵曲線法並提出物理上的尺度分析法來找出某些非線性的方程式的解;特別針對通量函數為f(u)=u^2,u^3,-u^2,-u^3時，我們也發現守恆方程式的特別解。在某些實際上的意義下，我們將定義並找出震波集合和稀疏波集合，且找到了由有限個震波和稀疏波所組成的古典自相似解。zh_TW
dc.description.tableofcontentsContents \r\nAbstract i\r\n中文摘要 ii\r\n1 Introduction 1\r\n1.1 Entropies........................................ 1\r\n1.2 Weak solutions and shocks........................ 3\r\n2 Solutions for some nonlinear differential equations 10\r\n2.1 Characteristic methods........................... 10\r\n2.2 Physical dimension method........................ 13\r\n3 Riemann problems 16\r\n4 Scalar conservation laws 18\r\n4.1 Shock waves for concave flux functions…......... 18\r\n4.2 Rarefaction waves for concave flux functions..... 23\r\n4.3 Classical solutions.............................. 25\r\n5 Nonclassical shocks 31\r\nReferences 34zh_TW
dc.language.isoen_US-
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#G0095751001en_US
dc.subject震波zh_TW
dc.subject稀疏波zh_TW
dc.title一些非線性方程解的存在性zh_TW
dc.titleExistence of solutions for some nonlinear equationsen_US
dc.typethesisen
dc.relation.reference[1] Culbert B.L., Computational Gasdynamics, Cambridge University Press, 1998.zh_TW
dc.relation.reference[2] LeFloch P.G., Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock Waves, Birkhäuser Verlag, 2002.zh_TW
dc.relation.reference[3] Teubner B.G., Numerical Schemes for Conservation Laws, John Wiley and Sons Ltd, 1997.zh_TW
dc.relation.reference[4] Tzong-Hann Shieh, Meng-Rong Li, Numerical treatment of contact discontinuity with multi-gases, Journal of computational and applied mathematics, 2009 to appear.zh_TW
dc.relation.reference[5] Tzong-Hann Shieh, Meng-Rong Li, Modeling and numerical treatment of contact discontinuity with difference gases, 2009, preprint.zh_TW
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item.openairecristypehttp://purl.org/coar/resource_type/c_46ec-
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