| Blow-up Mechanism of Classical Solutions to Quasilinear Hyperbolic Systems in the Critical Case |
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| 作者姓名： | Tatsien LI Libin WANG |
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| 作者单位： | Dedicated to |
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| 基金项目： | 国家重点基础研究发展计划(973计划) |
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| 摘 要： | This paper deals with the blow-up phenomenon, particularly, the geometric blow-up mechanism, of classical solutions to the Cauchy problem for quasilinear hyperbolic systems in the critical case. We prove that it is still the envelope of the same family of characteristics which yields the blowup of classical solutions to the Cauchy problem in the critical case.
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| 关 键 词： | 准线性双曲线系统 古典解法 崩溃 临界情形 |
| 收稿时间： | 14 July 2005 |
Blow-up Mechanism of Classical Solutions to Quasilinear Hyperbolic Systems in the Critical Case |
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| Tatsien LI,Libin WANG.Blow-up Mechanism of Classical Solutions to Quasilinear Hyperbolic Systems in the Critical Case[J].Chinese Annals of Mathematics,Series B,2006,27(1):53-66. |
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| Authors: | Tatsien LI and Libin WANG |
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| Institution: | Dedicated to the memory of Shiing-Shen Chern |
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| Abstract: | This paper deals with the blow-up phenomenon, particularly, the geometric blow-up mechanism, of classical solutions to the Cauchy problem for quasilinear hyperbolic systems in the critical case. We prove that it is still the envelope of the same family of characteristics which yields the blowup of classical solutions to the Cauchy problem in the critical case. |
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| Keywords: | Quasilinear hyperbolic system Classical solution Blowup Critical case |
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