| The Singular Structure of Non-selfsimilar Global Solutions of n Dimensional Burgers Equation |
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| 作者姓名： | Xiao-zhou Yang |
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| 作者单位： | [1]Department of Mathematics, Shantou University, Shantou, Guangdong 515063, China |
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| 基金项目： | Supported by the National Natural Science Foundation （10001023）, Huo Ying-dong Fellowship （81004）, Scientific Research Foundation for the Returned 0verseas Chinese Scholars, State Education Ministry, The China Scholarship Council, Natural Science Foundation of Guangdong （000804） and Natural Science Foundation of Guangdong Education Bureau （200030） |
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| 摘 要： |
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| 关 键 词： | Burgers方程 非自相似性 球形解 初始波 |
| 收稿时间： | 2005-03-01 |
| 修稿时间： | 2005-03-01 |
The Singular Structure of Non-selfsimilar Global Solutions of n Dimensional Burgers Equation |
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| Xiao-zhou Yang.The Singular Structure of Non-selfsimilar Global Solutions of n Dimensional Burgers Equation[J].Acta Mathematicae Applicatae Sinica,2005,21(3):505-518. |
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| Authors: | Xiao-zhou Yang |
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| Institution: | (1) Department of Mathematics, Shantou University, Shantou, Guangdong, 515063, China |
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| Abstract: | We investigate the singular structure for n dimensional non-selfsimilar global solutions and interaction of non-selfsimilar elementary wave of n dimensional Burgers equation, where the initial discontinuity is a n dimensional smooth surface and initial data just contain two different constant states, global solutions and some new phenomena are discovered. An elegant technique is proposed to construct n dimensional shock wave without dimensional reduction or coordinate transformation. |
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| Keywords: | Non-selfsimilar global solution elementary wave Burgers equation |
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