| 对角型拟线性双曲方程组周期解的Blowup |
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| 引用本文： | 刘法贵,宋庆涛.对角型拟线性双曲方程组周期解的Blowup[J].河南科学,2000,18(3):221-224. |
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| 作者姓名： | 刘法贵 宋庆涛 |
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| 作者单位： | 华北水利水电学院,河南,郑州,450045 |
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| 基金项目： | 中国科学院资助项目，19971062， |
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| 摘 要： | 本文考虑具周期初始数据的对角型拟线性双曲方程组Cauchy问题 ,证明其经典周期解一定在有限时间内破裂 ,且给出了经典解生命跨度上界估计 .
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| 关 键 词： | 拟线性双曲型方程组 Cauchy问题 周期解 生命跨度 |
| 修稿时间： | : |
Blow-up of periodic solutions to quasilinear hyperbolic systems in diagonal form |
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| LIU Fa-gui,SONG Qing-tao.Blow-up of periodic solutions to quasilinear hyperbolic systems in diagonal form[J].Henan Science,2000,18(3):221-224. |
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| Authors: | LIU Fa-gui SONG Qing-tao |
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| Abstract: | In this article the authors deal with the Cauchy problem for quasilinear hyperbolic systems in diagonal form with periodic initial data, and show that the classical periodic solution must blow up in a finite time, while the upper bound of the life span for the periodic solution is obtained. |
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| Keywords: | quasilinear hyperbolic system Cauchy proplem periodic solution life span 1991 MR subject Classification:35L60 35L65 |
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