| 拟线性可化约的双曲型方程组的奇性分析 |
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| 引用本文： | WANG Li-zhen (College of Mathematics and Information Science,Shandong Institute of Business and Technology,Yantai 264005,China). 拟线性可化约的双曲型方程组的奇性分析[J]. 数学季刊, 2005, 20(1): 10-20 |
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| 作者姓名： | WANG Li-zhen (College of Mathematics and Information Science Shandong Institute of Business and Technology Yantai 264005 China) |
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| 作者单位： | College of Mathematics and Information Science，Shandong Institute of Business and Technology，Yantai 264005，China |
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| 基金项目： | Supported by the NSFC(1001024) |
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| 摘 要： | In this paper we investigate the formation of singularities of hyperbolic systems. Employing the method of parametric coordinates and the existence of the solution of the blow-up system, we prove that the blow-up of classic solutions is due to the envelope of characteristics of the same family, analyze the geometric properties of the envelope of characteristics and estimate the blowup rates of the solution precisely.
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| 关 键 词： | 准线性系统 严格双曲线系统 偏微分方程 奇异性 存在性 尖点类型 |
Analysis of Singularity for Reducible Quasi-linear Hyperbolic Systems |
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| WANGLi-zhen. Analysis of Singularity for Reducible Quasi-linear Hyperbolic Systems[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(1): 10-20 |
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| Authors: | WANGLi-zhen |
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| Affiliation: | CollegeofMathematicsandInformationScience,ShandongInstituteofBusinessandTechnology,Yantai264005,China |
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| Abstract: | In this paper we investigate the formation of singularities of hyperbolic systems.Employing the method of parametric coordinates and the existence of the solution of the blow-up system, we prove that the blow-up of classic solutions is due to the envelope of characteristics of the same family, analyze the geometric properties of the envelope of characteristics and estimate the blowup rates of the solution precisely. |
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| Keywords: | quasi-linear systems strictly hyperbolic systems life span blowup of cusp type the envelope of characteristics |
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